252237585600 has 2688 divisors, whose sum is σ = 1303783219200. Its totient is φ = 45685555200.

The previous prime is 252237585547. The next prime is 252237585623. The reversal of 252237585600 is 6585732252.

252237585600 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 3 + 7 + 585 + 60 + 0 = 666.

252237585600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 821620647 + ... + 821620953.

It is an arithmetic number, because the mean of its divisors is an integer number (485038400).

Almost surely, 2^252237585600 is an apocalyptic number.

252237585600 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 252237585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651891609600).

252237585600 is an abundant number, since it is smaller than the sum of its proper divisors (1051545633600).

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

252237585600 is a wasteful number, since it uses less digits than its factorization.

252237585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 252237585600 in words is "two hundred fifty-two billion, two hundred thirty-seven million, five hundred eighty-five thousand, six hundred".