57123075264 has 224 divisors, whose sum is σ = 164372544000. Its totient is φ = 17453162496.

The previous prime is 57123075227. The next prime is 57123075301. The reversal of 57123075264 is 46257032175.

It is an interprime number because it is at equal distance from previous prime (57123075227) and next prime (57123075301).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17799292 + ... + 17802500.

It is an arithmetic number, because the mean of its divisors is an integer number (733806000).

Almost surely, 2^57123075264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57123075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82186272000).

57123075264 is an abundant number, since it is smaller than the sum of its proper divisors (107249468736).

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

57123075264 is a wasteful number, since it uses less digits than its factorization.

57123075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 57123075264 in words is "fifty-seven billion, one hundred twenty-three million, seventy-five thousand, two hundred sixty-four".