57990625488000 has 1280 divisors, whose sum is σ = 230076136873440. Its totient is φ = 14425089638400.

The previous prime is 57990625487923. The next prime is 57990625488109. The reversal of 57990625488000 is 88452609975.

57990625488000 is a `hidden beast` number, since 5 + 7 + 9 + 9 + 0 + 6 + 2 + 548 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 23827909755456 + 34162715732544 = 4881384^2 + 5844888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2489604354 + ... + 2489627646.

Almost surely, 2^{57990625488000} is an apocalyptic number.

57990625488000 is a gapful number since it is divisible by the number (50) 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 57990625488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115038068436720).

57990625488000 is an abundant number, since it is smaller than the sum of its proper divisors (172085511385440).

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

57990625488000 is a wasteful number, since it uses less digits than its factorization.

57990625488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23464 (or 23433 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 57990625488000 in words is "fifty-seven trillion, nine hundred ninety billion, six hundred twenty-five million, four hundred eighty-eight thousand".