252367506878400 has 168 divisors, whose sum is σ = 919973032176240. Its totient is φ = 67298001822720.

The previous prime is 252367506878387. The next prime is 252367506878401. The reversal of 252367506878400 is 4878605763252.

252367506878400 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 6 + 7 + 506 + 87 + 8 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252367506878401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2920877019 + ... + 2920963418.

It is an arithmetic number, because the mean of its divisors is an integer number (5476029953430).

Almost surely, 2^{252367506878400} is an apocalyptic number.

252367506878400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252367506878400 is an abundant number, since it is smaller than the sum of its proper divisors (667605525297840).

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

252367506878400 is a wasteful number, since it uses less digits than its factorization.

252367506878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841840468 (or 5841840447 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 252367506878400 in words is "two hundred fifty-two trillion, three hundred sixty-seven billion, five hundred six million, eight hundred seventy-eight thousand, four hundred".