252757798465536 has 3744 divisors, whose sum is σ = 1010519764531200. Its totient is φ = 62083623813120.

The previous prime is 252757798465463. The next prime is 252757798465559. The reversal of 252757798465536 is 635564897757252.

252757798465536 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 5 + 7 + 79 + 8 + 4 + 6 + 5 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

Its product of digits (26671680000) is a multiple of the sum of its prime divisors (392).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 823315304295 + ... + 823315304601.

Almost surely, 2^{252757798465536} is an apocalyptic number.

252757798465536 is a gapful number since it is divisible by the number (26) 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 252757798465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505259882265600).

252757798465536 is an abundant number, since it is smaller than the sum of its proper divisors (757761966065664).

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

252757798465536 is a wasteful number, since it uses less digits than its factorization.

252757798465536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 392 counting only the distinct ones).

The product of its digits is 26671680000, while the sum is 81.

The spelling of 252757798465536 in words is "two hundred fifty-two trillion, seven hundred fifty-seven billion, seven hundred ninety-eight million, four hundred sixty-five thousand, five hundred thirty-six".