57575555557575 has 96 divisors (see below), whose sum is σ = 104886457908480. Its totient is φ = 27636133324800.

The previous prime is 57575555557567. The next prime is 57575555557603.

It is a happy number.

57575555557575 is nontrivially palindromic in base 10.

57575555557575 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57575555557575 - 2³ = 57575555557567 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57575555557575.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79720789 + ... + 80439761.

It is an arithmetic number, because the mean of its divisors is an integer number (1092567269880).

Almost surely, 2^{57575555557575} is an apocalyptic number.

57575555557575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57575555557575 is a deficient number, since it is larger than the sum of its proper divisors (47310902350905).

57575555557575 is a wasteful number, since it uses less digits than its factorization.

57575555557575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719969 (or 719964 counting only the distinct ones).

The product of its digits is 23447265625, while the sum is 78.

The spelling of 57575555557575 in words is "fifty-seven trillion, five hundred seventy-five billion, five hundred fifty-five million, five hundred fifty-seven thousand, five hundred seventy-five".