252962320875264 has 6048 divisors, whose sum is σ = 1116542131826688. Its totient is φ = 55604695449600.

The previous prime is 252962320875247. The next prime is 252962320875281. The reversal of 252962320875264 is 462578023269252.

252962320875264 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 6 + 2 + 3 + 20 + 87 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (252962320875247) and next prime (252962320875281).

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 8160074866929 + ... + 8160074866959.

Almost surely, 2^{252962320875264} is an apocalyptic number.

252962320875264 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 252962320875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558271065913344).

252962320875264 is an abundant number, since it is smaller than the sum of its proper divisors (863579810951424).

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

252962320875264 is an equidigital number, since it uses as much as digits as its factorization.

252962320875264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 252962320875264 in words is "two hundred fifty-two trillion, nine hundred sixty-two billion, three hundred twenty million, eight hundred seventy-five thousand, two hundred sixty-four".