57134638080 has 528 divisors, whose sum is σ = 215163346944. Its totient is φ = 13934592000.

The previous prime is 57134638079. The next prime is 57134638111. The reversal of 57134638080 is 8083643175.

57134638080 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 4 + 638 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76077705 + ... + 76078455.

Almost surely, 2^57134638080 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 57134638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107581673472).

57134638080 is an abundant number, since it is smaller than the sum of its proper divisors (158028708864).

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

57134638080 is a wasteful number, since it uses less digits than its factorization.

57134638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 57134638080 in words is "fifty-seven billion, one hundred thirty-four million, six hundred thirty-eight thousand, eighty".