57021381710496 has 2304 divisors, whose sum is σ = 219038966415360. Its totient is φ = 13692767109120.

The previous prime is 57021381710453. The next prime is 57021381710507. The reversal of 57021381710496 is 69401718312075.

57021381710496 is a `hidden beast` number, since 5 + 7 + 0 + 2 + 1 + 3 + 81 + 71 + 0 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73766340766 + ... + 73766341538.

It is an arithmetic number, because the mean of its divisors is an integer number (95068995840).

It is a 1-persistent number, because it is pandigital, but 2⋅57021381710496 = 114042763420992 is not.

Almost surely, 2^{57021381710496} is an apocalyptic number.

57021381710496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57021381710496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109519483207680).

57021381710496 is an abundant number, since it is smaller than the sum of its proper divisors (162017584704864).

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

57021381710496 is a wasteful number, since it uses less digits than its factorization.

57021381710496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 57021381710496 in words is "fifty-seven trillion, twenty-one billion, three hundred eighty-one million, seven hundred ten thousand, four hundred ninety-six".