252891861264 has 280 divisors, whose sum is σ = 852127632960. Its totient is φ = 71174847744.

The previous prime is 252891861251. The next prime is 252891861361. The reversal of 252891861264 is 462168198252.

252891861264 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 9 + 18 + 612 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 252891861264.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5447302 + ... + 5493530.

Almost surely, 2^252891861264 is an apocalyptic number.

252891861264 is a gapful number since it is divisible by the number (24) 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 252891861264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426063816480).

252891861264 is an abundant number, since it is smaller than the sum of its proper divisors (599235771696).

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

252891861264 is an equidigital number, since it uses as much as digits as its factorization.

252891861264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46329 (or 46308 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 252891861264 in words is "two hundred fifty-two billion, eight hundred ninety-one million, eight hundred sixty-one thousand, two hundred sixty-four".