57996183409920 has 864 divisors, whose sum is σ = 241370313719808. Its totient is φ = 13058382864384.

The previous prime is 57996183409861. The next prime is 57996183409921. The reversal of 57996183409920 is 2990438169975.

57996183409920 is a `hidden beast` number, since 5 + 79 + 9 + 61 + 8 + 3 + 409 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57996183409921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145678977 + ... + 146076543.

It is a 1-persistent number, because it is pandigital, but 2⋅57996183409920 = 115992366819840 is not.

Almost surely, 2^{57996183409920} 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 57996183409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120685156859904).

57996183409920 is an abundant number, since it is smaller than the sum of its proper divisors (183374130309888).

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

57996183409920 is an equidigital number, since it uses as much as digits as its factorization.

57996183409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397677 (or 397651 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 57996183409920 in words is "fifty-seven trillion, nine hundred ninety-six billion, one hundred eighty-three million, four hundred nine thousand, nine hundred twenty".