57131343360 has 1280 divisors, whose sum is σ = 258703441920. Its totient is φ = 11625431040.

The previous prime is 57131343323. The next prime is 57131343377. The reversal of 57131343360 is 6334313175.

57131343360 is a `hidden beast` number, since 5 + 7 + 1 + 313 + 4 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194987374 + ... + 194987666.

It is an arithmetic number, because the mean of its divisors is an integer number (202112064).

Almost surely, 2^57131343360 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 57131343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129351720960).

57131343360 is an abundant number, since it is smaller than the sum of its proper divisors (201572098560).

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

57131343360 is a wasteful number, since it uses less digits than its factorization.

57131343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 57131343360 in words is "fifty-seven billion, one hundred thirty-one million, three hundred forty-three thousand, three hundred sixty".