57680939160 has 768 divisors, whose sum is σ = 221908377600. Its totient is φ = 13368250368.

The previous prime is 57680939149. The next prime is 57680939177. The reversal of 57680939160 is 6193908675.

57680939160 is a `hidden beast` number, since 576 + 8 + 0 + 9 + 3 + 9 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57680939097 and 57680939106.

It is a congruent number.

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, 258658809 + ... + 258659031.

It is an arithmetic number, because the mean of its divisors is an integer number (288943200).

Almost surely, 2^57680939160 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 57680939160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110954188800).

57680939160 is an abundant number, since it is smaller than the sum of its proper divisors (164227438440).

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

57680939160 is a wasteful number, since it uses less digits than its factorization.

57680939160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 57680939160 in words is "fifty-seven billion, six hundred eighty million, nine hundred thirty-nine thousand, one hundred sixty".