57382746160896 has 2304 divisors, whose sum is σ = 203875951104000. Its totient is φ = 15765995520000.

The previous prime is 57382746160799. The next prime is 57382746160903. The reversal of 57382746160896 is 69806164728375.

57382746160896 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 2 + 7 + 4 + 6 + 1 + 608 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 380018186421 + ... + 380018186571.

It is an arithmetic number, because the mean of its divisors is an integer number (88487826000).

It is a 1-persistent number, because it is pandigital, but 2⋅57382746160896 = 114765492321792 is not.

Almost surely, 2^{57382746160896} 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 57382746160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101937975552000).

57382746160896 is an abundant number, since it is smaller than the sum of its proper divisors (146493204943104).

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

57382746160896 is a wasteful number, since it uses less digits than its factorization.

57382746160896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 57382746160896 in words is "fifty-seven trillion, three hundred eighty-two billion, seven hundred forty-six million, one hundred sixty thousand, eight hundred ninety-six".