8253658828800 has 1872 divisors, whose sum is σ = 37236243013632. Its totient is φ = 1697454489600.

The previous prime is 8253658828763. The next prime is 8253658828813. The reversal of 8253658828800 is 88288563528.

8253658828800 is a `hidden beast` number, since 8 + 25 + 3 + 6 + 588 + 28 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7593061857 + ... + 7593062943.

It is an arithmetic number, because the mean of its divisors is an integer number (19891155456).

Almost surely, 2^{8253658828800} is an apocalyptic number.

8253658828800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8253658828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618121506816).

8253658828800 is an abundant number, since it is smaller than the sum of its proper divisors (28982584184832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8253658828800 is a wasteful number, since it uses less digits than its factorization.

8253658828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 8253658828800 in words is "eight trillion, two hundred fifty-three billion, six hundred fifty-eight million, eight hundred twenty-eight thousand, eight hundred".