57738316784720 has 480 divisors, whose sum is σ = 161417236492800. Its totient is φ = 19035271157760.

The previous prime is 57738316784711. The next prime is 57738316784789. The reversal of 57738316784720 is 2748761383775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3457582931 + ... + 3457599629.

It is an arithmetic number, because the mean of its divisors is an integer number (336285909360).

Almost surely, 2^{57738316784720} 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 57738316784720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80708618246400).

57738316784720 is an abundant number, since it is smaller than the sum of its proper divisors (103678919708080).

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

57738316784720 is a wasteful number, since it uses less digits than its factorization.

57738316784720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17163 (or 17144 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 68.

The spelling of 57738316784720 in words is "fifty-seven trillion, seven hundred thirty-eight billion, three hundred sixteen million, seven hundred eighty-four thousand, seven hundred twenty".