252365912064 has 864 divisors, whose sum is σ = 897209913600. Its totient is φ = 70648381440.

The previous prime is 252365912059. The next prime is 252365912069. The reversal of 252365912064 is 460219563252.

252365912064 is a `hidden beast` number, since 2 + 5 + 2 + 36 + 591 + 20 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (252365912059) and next prime (252365912069).

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252365912069) 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, 1926457279 + ... + 1926457409.

It is an arithmetic number, because the mean of its divisors is an integer number (1038437400).

Almost surely, 2^252365912064 is an apocalyptic number.

252365912064 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 252365912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448604956800).

252365912064 is an abundant number, since it is smaller than the sum of its proper divisors (644844001536).

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

252365912064 is an equidigital number, since it uses as much as digits as its factorization.

252365912064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 252365912064 in words is "two hundred fifty-two billion, three hundred sixty-five million, nine hundred twelve thousand, sixty-four".