You have some serious engineering issues.
If you have 25,000 floors, then even with no 'mushroom' (expanding floors) you have 25,000 square km of floor space. That's 25 billion square meters. If you had 100 square meter apartments, and similar space for support facilities you have 125 million apartments. At 2 people each average, you have 2/3 of the population of the U.S. living in your tower. I've ignored the business aspects, much I ignored the expansion.
Even at present with 100 story office towers, a major problem is getting people in and out. At present, one of the tricks is that it takes 2 elevator trips to get anywhere. Some elevators stop at multiples of 10-20 floors. E.g. They stop a 10, 20, 30, but don't stop at the floors between. These elevators can accelerate and run at much faster speeds. The secondary elevators run slower, but only have a short range of floors. This allows you to put several slow elevators in the same shaft.
How long does it take to evacuate? Ignoring the elevator problem. Assume that the entire perimeter is doors. Say a pair of doors every 4 meters. There are 1000 pairs of doors. Everyone walks at 4 mph, or about 2 m/s, 1 meter apart. Each door then exits 2 people per second. 1000 pairs is 2000 doors, so 4000 people per second.
125,000,000/4000 = 32,000 seconds. 9 hours.
How far do they have to go? 125 million people at 1 sq. m each is 125 square km. About 11 km away.
We have a problem before that however. Suppose we have 1 high speed elevator every 50 meters, over the entire base. 400 elevators total. On the average the elevator come down 80 km. If they ran at the speed of a high speed train, say 320 km/hour, it takes 30 minutes per round trip. If the elevator has the usual capacity of about 15, then 400 shafts delivering a person every 2 minutes is 200 passengers per hour.
Clearly we don't have enough elevators. Lets's make half the base elevators. One every 10 meters. So we have 100 x 100 grid of elevators or 10,000 elevators. Still stuck at 5000 people per hour. Takes 25,000 hours to get everyone down. Somewhat under 3 years.
How would you support this structure? There is a reason that the earth can stack mountains only about 7 miles above sea level.
I did tour of the Bunker Hill Sullivan mine. At 5000 feet below the surface, they have to rebore the tunnels periodically: There's enough creep of the rock, that it gets out of true. They also bolt chain link fence to the walls and ceiling. Rock spalls off the ceiling. Now buildings are not as dense as rock, but we're not talking any measly 7 miles either.
You have some serious wind load issues where it passes through the tropopause.
How do you keep if from zigging out of line. You have a building with a 160 to 1 height/width ratio. So 1 cm square base by 160 cm height. Load goes up with the cube of the linear size ratio, but strength goes up with only the square.
Try this: Make a stick of those dimensions -- 1 cm x 1 cm x 160 cm (5 feet)
Duct tape a pop bottle to the top end. Partially fill it with water. Now holding it the bottom end, with the end stationary on the floor, keep it balanced. This is best done outside on a windy day. The bottle of water is the rest of the load on the building.
(This is fairly easy to do if you can move the base, as you are rotating the stick around it's center of mass. You have a much longer lever arm, and the load has half the lever arm as with a stationary base.)
Keep in mind in this model, that your hand is 10 cm tall -- You aren't going to hold the bottom 10 km of your tower.
Your model needs some work.