57685109828064 has 192 divisors, whose sum is σ = 164129663529216. Its totient is φ = 17668840218624.

The previous prime is 57685109828033. The next prime is 57685109828069. The reversal of 57685109828064 is 46082890158675.

It is a self number, because there is not a number n which added to its sum of digits gives 57685109828064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57685109828069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164527954 + ... + 164878190.

It is an arithmetic number, because the mean of its divisors is an integer number (854841997548).

Almost surely, 2^{57685109828064} 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 57685109828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82064831764608).

57685109828064 is an abundant number, since it is smaller than the sum of its proper divisors (106444553701152).

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

57685109828064 is a wasteful number, since it uses less digits than its factorization.

57685109828064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352657 (or 352649 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 69.

The spelling of 57685109828064 in words is "fifty-seven trillion, six hundred eighty-five billion, one hundred nine million, eight hundred twenty-eight thousand, sixty-four".