57251431160 has 256 divisors, whose sum is σ = 168608563200. Its totient is φ = 16974604800.

The previous prime is 57251431141. The next prime is 57251431163. The reversal of 57251431160 is 6113415275.

It is a happy number.

57251431160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 57251431160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57251431163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5628239 + ... + 5638401.

It is an arithmetic number, because the mean of its divisors is an integer number (658627200).

Almost surely, 2^57251431160 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 57251431160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84304281600).

57251431160 is an abundant number, since it is smaller than the sum of its proper divisors (111357132040).

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

57251431160 is a wasteful number, since it uses less digits than its factorization.

57251431160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10282 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 57251431160 in words is "fifty-seven billion, two hundred fifty-one million, four hundred thirty-one thousand, one hundred sixty".