57564046575 has 96 divisors (see below), whose sum is σ = 121283904000. Its totient is φ = 26221397760.

The previous prime is 57564046531. The next prime is 57564046601.

It is a happy number.

57564046575 is a `hidden beast` number, since 5 + 7 + 5 + 64 + 0 + 4 + 6 + 575 = 666.

57564046575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57564046575 - 2⁹ = 57564046063 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1315651 + ... + 1358699.

It is an arithmetic number, because the mean of its divisors is an integer number (1263374000).

Almost surely, 2^57564046575 is an apocalyptic number.

57564046575 is an abundant number, since it is smaller than the sum of its proper divisors (63719857425).

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

57564046575 is a wasteful number, since it uses less digits than its factorization.

57564046575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43358 (or 43347 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 57564046575 in words is "fifty-seven billion, five hundred sixty-four million, forty-six thousand, five hundred seventy-five".