5700134160 has 640 divisors, whose sum is σ = 24101314560. Its totient is φ = 1209821184.

The previous prime is 5700134129. The next prime is 5700134177. The reversal of 5700134160 is 614310075.

5700134160 is a `hidden beast` number, since 570 + 0 + 1 + 34 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12866899 + ... + 12867341.

It is an arithmetic number, because the mean of its divisors is an integer number (37658304).

Almost surely, 2^5700134160 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 5700134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050657280).

5700134160 is an abundant number, since it is smaller than the sum of its proper divisors (18401180400).

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

5700134160 is a wasteful number, since it uses less digits than its factorization.

5700134160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5700134160 is about 75499.2328437846. The cubic root of 5700134160 is about 1786.3300023439.

The spelling of 5700134160 in words is "five billion, seven hundred million, one hundred thirty-four thousand, one hundred sixty".