57645886368 has 192 divisors, whose sum is σ = 174515040000. Its totient is φ = 16320724992.

The previous prime is 57645886237. The next prime is 57645886409. The reversal of 57645886368 is 86368854675.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57645886299 and 57645886308.

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, 46153008 + ... + 46154256.

It is an arithmetic number, because the mean of its divisors is an integer number (908932500).

Almost surely, 2^57645886368 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 57645886368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87257520000).

57645886368 is an abundant number, since it is smaller than the sum of its proper divisors (116869153632).

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

57645886368 is a wasteful number, since it uses less digits than its factorization.

57645886368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1831 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 66.

The spelling of 57645886368 in words is "fifty-seven billion, six hundred forty-five million, eight hundred eighty-six thousand, three hundred sixty-eight".