252237576960 has 216 divisors, whose sum is σ = 905039662800. Its totient is φ = 67263270912.

The previous prime is 252237576937. The next prime is 252237576991. The reversal of 252237576960 is 69675732252.

252237576960 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 3 + 7 + 576 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 252237576897 and 252237576906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94435 + ... + 716514.

Almost surely, 2^252237576960 is an apocalyptic number.

252237576960 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 252237576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452519831400).

252237576960 is an abundant number, since it is smaller than the sum of its proper divisors (652802085840).

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

252237576960 is an frugal number, since it uses more digits than its factorization.

252237576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810985 (or 810959 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 252237576960 in words is "two hundred fifty-two billion, two hundred thirty-seven million, five hundred seventy-six thousand, nine hundred sixty".