57134151360 has 896 divisors, whose sum is σ = 239277265920. Its totient is φ = 12651724800.

The previous prime is 57134151353. The next prime is 57134151377. The reversal of 57134151360 is 6315143175.

57134151360 is a `hidden beast` number, since 5 + 7 + 134 + 1 + 513 + 6 + 0 = 666.

It is a super-2 number, since 2×57134151360² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 161852944 + ... + 161853296.

It is an arithmetic number, because the mean of its divisors is an integer number (267050520).

Almost surely, 2^57134151360 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 57134151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119638632960).

57134151360 is an abundant number, since it is smaller than the sum of its proper divisors (182143114560).

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

57134151360 is a wasteful number, since it uses less digits than its factorization.

57134151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 57134151360 in words is "fifty-seven billion, one hundred thirty-four million, one hundred fifty-one thousand, three hundred sixty".