57133891584 has 864 divisors, whose sum is σ = 223773653376. Its totient is φ = 13589544960.

The previous prime is 57133891561. The next prime is 57133891603. The reversal of 57133891584 is 48519833175.

57133891584 is a `hidden beast` number, since 57 + 1 + 3 + 3 + 8 + 9 + 1 + 584 = 666.

Its product of digits (3628800) is a multiple of the sum of its prime factors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 57133891584.

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 47 ways as a sum of consecutive naturals, for example, 1544159214 + ... + 1544159250.

It is an arithmetic number, because the mean of its divisors is an integer number (258997284).

Almost surely, 2^57133891584 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 57133891584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111886826688).

57133891584 is an abundant number, since it is smaller than the sum of its proper divisors (166639761792).

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

57133891584 is a wasteful number, since it uses less digits than its factorization.

57133891584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 57133891584 in words is "fifty-seven billion, one hundred thirty-three million, eight hundred ninety-one thousand, five hundred eighty-four".