57168772000 has 96 divisors (see below), whose sum is σ = 140548458960. Its totient is φ = 22853708800.

The previous prime is 57168771977. The next prime is 57168772027. The reversal of 57168772000 is 27786175.

57168772000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45859984 + 57122912016 = 6772^2 + 239004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8944806 + ... + 8951194.

Almost surely, 2^57168772000 is an apocalyptic number.

57168772000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57168772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70274229480).

57168772000 is an abundant number, since it is smaller than the sum of its proper divisors (83379686960).

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

57168772000 is a wasteful number, since it uses less digits than its factorization.

57168772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

The spelling of 57168772000 in words is "fifty-seven billion, one hundred sixty-eight million, seven hundred seventy-two thousand".