57973090839840 has 1152 divisors, whose sum is σ = 232867745510400. Its totient is φ = 12981953617920.

The previous prime is 57973090839809. The next prime is 57973090839889. The reversal of 57973090839840 is 4893809037975.

57973090839840 is a `hidden beast` number, since 579 + 7 + 3 + 0 + 9 + 0 + 8 + 3 + 9 + 8 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8010648702 + ... + 8010655938.

It is an arithmetic number, because the mean of its divisors is an integer number (202142140200).

Almost surely, 2^{57973090839840} 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 57973090839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116433872755200).

57973090839840 is an abundant number, since it is smaller than the sum of its proper divisors (174894654670560).

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

57973090839840 is a wasteful number, since it uses less digits than its factorization.

57973090839840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 7939 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 57973090839840 in words is "fifty-seven trillion, nine hundred seventy-three billion, ninety million, eight hundred thirty-nine thousand, eight hundred forty".