57105728680 has 384 divisors, whose sum is σ = 179109273600. Its totient is φ = 15895526400.

The previous prime is 57105728663. The next prime is 57105728747. The reversal of 57105728680 is 8682750175.

It is a super-2 number, since 2×57105728680² (a number of 22 digits) contains 22 as substring.

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, 16134351 + ... + 16137889.

It is an arithmetic number, because the mean of its divisors is an integer number (466430400).

Almost surely, 2^57105728680 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 57105728680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89554636800).

57105728680 is an abundant number, since it is smaller than the sum of its proper divisors (122003544920).

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

57105728680 is a wasteful number, since it uses less digits than its factorization.

57105728680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 49.

The spelling of 57105728680 in words is "fifty-seven billion, one hundred five million, seven hundred twenty-eight thousand, six hundred eighty".