57131321760 has 336 divisors, whose sum is σ = 203965866720. Its totient is φ = 15114677760.

The previous prime is 57131321759. The next prime is 57131321777. The reversal of 57131321760 is 6712313175.

57131321760 is a `hidden beast` number, since 5 + 71 + 313 + 217 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15277971 + ... + 15281709.

It is an arithmetic number, because the mean of its divisors is an integer number (607041270).

Almost surely, 2^57131321760 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 57131321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101982933360).

57131321760 is an abundant number, since it is smaller than the sum of its proper divisors (146834544960).

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

57131321760 is a wasteful number, since it uses less digits than its factorization.

57131321760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 57131321760 in words is "fifty-seven billion, one hundred thirty-one million, three hundred twenty-one thousand, seven hundred sixty".