57505258881 has 128 divisors (see below), whose sum is σ = 105239347200. Its totient is φ = 30311677440.

The previous prime is 57505258873. The next prime is 57505258883. The reversal of 57505258881 is 18885250575.

57505258881 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 52 + 588 + 8 + 1 = 666.

It is not a de Polignac number, because 57505258881 - 2³ = 57505258873 is a prime.

It is a super-2 number, since 2×57505258881² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57505258883) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 52419925 + ... + 52421021.

It is an arithmetic number, because the mean of its divisors is an integer number (822182400).

Almost surely, 2^57505258881 is an apocalyptic number.

It is an amenable number.

57505258881 is a deficient number, since it is larger than the sum of its proper divisors (47734088319).

57505258881 is a wasteful number, since it uses less digits than its factorization.

57505258881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 4480000, while the sum is 54.

The spelling of 57505258881 in words is "fifty-seven billion, five hundred five million, two hundred fifty-eight thousand, eight hundred eighty-one".