57361811584 has 384 divisors, whose sum is σ = 155571477120. Its totient is φ = 20778024960.

The previous prime is 57361811567. The next prime is 57361811603. The reversal of 57361811584 is 48511816375.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 58711704 + ... + 58712680.

It is an arithmetic number, because the mean of its divisors is an integer number (405134055).

Almost surely, 2^57361811584 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 57361811584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77785738560).

57361811584 is an abundant number, since it is smaller than the sum of its proper divisors (98209665536).

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

57361811584 is a wasteful number, since it uses less digits than its factorization.

57361811584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1057 counting only the distinct ones).

The product of its digits is 806400, while the sum is 49.

The spelling of 57361811584 in words is "fifty-seven billion, three hundred sixty-one million, eight hundred eleven thousand, five hundred eighty-four".