57311400960 has 880 divisors, whose sum is σ = 237541740480. Its totient is φ = 13058703360.

The previous prime is 57311400953. The next prime is 57311400973. The reversal of 57311400960 is 6900411375.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77552271 + ... + 77553009.

It is an arithmetic number, because the mean of its divisors is an integer number (269933796).

Almost surely, 2^57311400960 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 57311400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118770870240).

57311400960 is an abundant number, since it is smaller than the sum of its proper divisors (180230339520).

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

57311400960 is a wasteful number, since it uses less digits than its factorization.

57311400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 57311400960 in words is "fifty-seven billion, three hundred eleven million, four hundred thousand, nine hundred sixty".