252807750720 has 672 divisors, whose sum is σ = 1056427826688. Its totient is φ = 54168846336.

The previous prime is 252807750709. The next prime is 252807750761. The reversal of 252807750720 is 27057708252.

252807750720 is a `hidden beast` number, since 2 + 52 + 8 + 0 + 77 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94932109 + ... + 94934771.

Almost surely, 2^252807750720 is an apocalyptic number.

252807750720 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 252807750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528213913344).

252807750720 is an abundant number, since it is smaller than the sum of its proper divisors (803620075968).

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

252807750720 is a wasteful number, since it uses less digits than its factorization.

252807750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 252807750720 in words is "two hundred fifty-two billion, eight hundred seven million, seven hundred fifty thousand, seven hundred twenty".