57968574491520 has 2304 divisors, whose sum is σ = 270962086749120. Its totient is φ = 11252709457920.

The previous prime is 57968574491519. The next prime is 57968574491587. The reversal of 57968574491520 is 2519447586975.

57968574491520 is a `hidden beast` number, since 5 + 7 + 9 + 6 + 8 + 5 + 7 + 4 + 4 + 91 + 520 = 666.

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 287 ways as a sum of consecutive naturals, for example, 7230702552 + ... + 7230710568.

Almost surely, 2^{57968574491520} 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 57968574491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135481043374560).

57968574491520 is an abundant number, since it is smaller than the sum of its proper divisors (212993512257600).

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

57968574491520 is a wasteful number, since it uses less digits than its factorization.

57968574491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 57968574491520 in words is "fifty-seven trillion, nine hundred sixty-eight billion, five hundred seventy-four million, four hundred ninety-one thousand, five hundred twenty".