57657105755 has 32 divisors (see below), whose sum is σ = 73668106368. Its totient is φ = 43226726400.

The previous prime is 57657105749. The next prime is 57657105797. The reversal of 57657105755 is 55750175675.

It is not a de Polignac number, because 57657105755 - 2⁶ = 57657105691 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57657105697 and 57657105706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1786865 + ... + 1818845.

It is an arithmetic number, because the mean of its divisors is an integer number (2302128324).

Almost surely, 2^57657105755 is an apocalyptic number.

57657105755 is a deficient number, since it is larger than the sum of its proper divisors (16011000613).

57657105755 is a wasteful number, since it uses less digits than its factorization.

57657105755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32327.

The product of its (nonzero) digits is 6431250, while the sum is 53.

The spelling of 57657105755 in words is "fifty-seven billion, six hundred fifty-seven million, one hundred five thousand, seven hundred fifty-five".