57687841920 has 256 divisors, whose sum is σ = 194198860800. Its totient is φ = 14536372224.

The previous prime is 57687841909. The next prime is 57687841949. The reversal of 57687841920 is 2914878675.

57687841920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3657411 + ... + 3673149.

It is an arithmetic number, because the mean of its divisors is an integer number (758589300).

Almost surely, 2^57687841920 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 57687841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97099430400).

57687841920 is an abundant number, since it is smaller than the sum of its proper divisors (136511018880).

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

57687841920 is a wasteful number, since it uses less digits than its factorization.

57687841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15867 (or 15855 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 57687841920 in words is "fifty-seven billion, six hundred eighty-seven million, eight hundred forty-one thousand, nine hundred twenty".