57677555577675 has 48 divisors (see below), whose sum is σ = 108552351276288. Its totient is φ = 26749011273600.

The previous prime is 57677555577661. The next prime is 57677555577713.

57677555577675 is nontrivially palindromic in base 10.

57677555577675 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 57677555577675 - 2⁶ = 57677555577611 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 1519811212 + ... + 1519849161.

It is an arithmetic number, because the mean of its divisors is an integer number (2261507318256).

Almost surely, 2^{57677555577675} is an apocalyptic number.

57677555577675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57677555577675 is a deficient number, since it is larger than the sum of its proper divisors (50874795698613).

57677555577675 is a wasteful number, since it uses less digits than its factorization.

57677555577675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039660420 (or 3039660415 counting only the distinct ones).

The product of its digits is 66177562500, while the sum is 84.

The spelling of 57677555577675 in words is "fifty-seven trillion, six hundred seventy-seven billion, five hundred fifty-five million, five hundred seventy-seven thousand, six hundred seventy-five".