57261811968 has 108 divisors (see below), whose sum is σ = 165349717260. Its totient is φ = 19058393088.

The previous prime is 57261811949. The next prime is 57261811993. The reversal of 57261811968 is 86911816275.

It is a happy number.

57261811968 is a `hidden beast` number, since 5 + 7 + 2 + 618 + 1 + 19 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30376306944 + 26885505024 = 174288^2 + 163968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1532128 + ... + 1569056.

Almost surely, 2^57261811968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57261811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82674858630).

57261811968 is an abundant number, since it is smaller than the sum of its proper divisors (108087905292).

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

57261811968 is a wasteful number, since it uses less digits than its factorization.

57261811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37624 (or 37607 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 57261811968 in words is "fifty-seven billion, two hundred sixty-one million, eight hundred eleven thousand, nine hundred sixty-eight".