57657568001 has 16 divisors (see below), whose sum is σ = 63107579520. Its totient is φ = 52242453120.

The previous prime is 57657567983. The next prime is 57657568021. The reversal of 57657568001 is 10086575675.

It is a happy number.

It is not a de Polignac number, because 57657568001 - 2³⁰ = 56583826177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57657568021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13554791 + ... + 13559043.

It is an arithmetic number, because the mean of its divisors is an integer number (3944223720).

Almost surely, 2^57657568001 is an apocalyptic number.

It is an amenable number.

57657568001 is a deficient number, since it is larger than the sum of its proper divisors (5450011519).

57657568001 is a wasteful number, since it uses less digits than its factorization.

57657568001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056.

The product of its (nonzero) digits is 1764000, while the sum is 50.

The spelling of 57657568001 in words is "fifty-seven billion, six hundred fifty-seven million, five hundred sixty-eight thousand, one".