57915678720 has 224 divisors, whose sum is σ = 185860285632. Its totient is φ = 15399124992.

The previous prime is 57915678719. The next prime is 57915678721. The reversal of 57915678720 is 2787651975.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57915678719) and next prime (57915678721).

It is not an unprimeable number, because it can be changed into a prime (57915678721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79011474 + ... + 79012206.

It is an arithmetic number, because the mean of its divisors is an integer number (829733418).

Almost surely, 2^57915678720 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 57915678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92930142816).

57915678720 is an abundant number, since it is smaller than the sum of its proper divisors (127944606912).

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

57915678720 is an equidigital number, since it uses as much as digits as its factorization.

57915678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 57.

The spelling of 57915678720 in words is "fifty-seven billion, nine hundred fifteen million, six hundred seventy-eight thousand, seven hundred twenty".