252890646624 has 432 divisors, whose sum is σ = 907583249664. Its totient is φ = 65382197760.

The previous prime is 252890646623. The next prime is 252890646629. The reversal of 252890646624 is 426646098252.

252890646624 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 9 + 0 + 6 + 4 + 6 + 624 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252890646623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55371189 + ... + 55375755.

It is an arithmetic number, because the mean of its divisors is an integer number (2100887152).

Almost surely, 2^252890646624 is an apocalyptic number.

252890646624 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 252890646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453791624832).

252890646624 is an abundant number, since it is smaller than the sum of its proper divisors (654692603040).

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

252890646624 is a wasteful number, since it uses less digits than its factorization.

252890646624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 252890646624 in words is "two hundred fifty-two billion, eight hundred ninety million, six hundred forty-six thousand, six hundred twenty-four".