57966008375 has 128 divisors (see below), whose sum is σ = 84893702400. Its totient is φ = 39110400000.

The previous prime is 57966008341. The next prime is 57966008459. The reversal of 57966008375 is 57380066975.

It is not a de Polignac number, because 57966008375 - 2⁸ = 57966008119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57966008375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149012681 + ... + 149013069.

It is an arithmetic number, because the mean of its divisors is an integer number (663232050).

Almost surely, 2^57966008375 is an apocalyptic number.

57966008375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57966008375 is a deficient number, since it is larger than the sum of its proper divisors (26927694025).

57966008375 is a wasteful number, since it uses less digits than its factorization.

57966008375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 56.

The spelling of 57966008375 in words is "fifty-seven billion, nine hundred sixty-six million, eight thousand, three hundred seventy-five".