252539596800 has 1092 divisors, whose sum is σ = 999128350800. Its totient is φ = 63063982080.

The previous prime is 252539596789. The next prime is 252539596867. The reversal of 252539596800 is 8695935252.

252539596800 is a `hidden beast` number, since 2 + 52 + 539 + 59 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1269043101 + ... + 1269043299.

Almost surely, 2^252539596800 is an apocalyptic number.

252539596800 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 252539596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499564175400).

252539596800 is an abundant number, since it is smaller than the sum of its proper divisors (746588754000).

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

252539596800 is an equidigital number, since it uses as much as digits as its factorization.

252539596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 252539596800 in words is "two hundred fifty-two billion, five hundred thirty-nine million, five hundred ninety-six thousand, eight hundred".