57256088065275 has 192 divisors, whose sum is σ = 109080098426880. Its totient is φ = 26208708364800.

The previous prime is 57256088065249. The next prime is 57256088065303.

57256088065275 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57256088065275 - 2¹⁰ = 57256088064251 is a prime.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5779351872 + ... + 5779361778.

It is an arithmetic number, because the mean of its divisors is an integer number (568125512640).

Almost surely, 2^{57256088065275} is an apocalyptic number.

57256088065275 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57256088065275 is a deficient number, since it is larger than the sum of its proper divisors (51824010361605).

57256088065275 is a wasteful number, since it uses less digits than its factorization.

57256088065275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 282240000, while the sum is 66.

The spelling of 57256088065275 in words is "fifty-seven trillion, two hundred fifty-six billion, eighty-eight million, sixty-five thousand, two hundred seventy-five".