25135202052000 has 576 divisors, whose sum is σ = 89828313120000. Its totient is φ = 6656008550400.

The previous prime is 25135202051963. The next prime is 25135202052019. The reversal of 25135202052000 is 25020253152.

25135202052000 is a `hidden beast` number, since 2 + 5 + 135 + 2 + 0 + 2 + 0 + 520 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3990344851 + ... + 3990351149.

It is an arithmetic number, because the mean of its divisors is an integer number (155951932500).

Almost surely, 2^{25135202052000} is an apocalyptic number.

25135202052000 is a gapful number since it is divisible by the number (20) 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 25135202052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44914156560000).

25135202052000 is an abundant number, since it is smaller than the sum of its proper divisors (64693111068000).

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

25135202052000 is a wasteful number, since it uses less digits than its factorization.

25135202052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 25135202052000 in words is "twenty-five trillion, one hundred thirty-five billion, two hundred two million, fifty-two thousand".