5688657838080 has 1296 divisors, whose sum is σ = 23822570182320. Its totient is φ = 1300264648704.

The previous prime is 5688657838043. The next prime is 5688657838091. The reversal of 5688657838080 is 808387568865.

5688657838080 is a `hidden beast` number, since 568 + 8 + 6 + 57 + 8 + 3 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 812665405437 + ... + 812665405443.

It is an arithmetic number, because the mean of its divisors is an integer number (18381612795).

Almost surely, 2^{5688657838080} 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 5688657838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911285091160).

5688657838080 is an abundant number, since it is smaller than the sum of its proper divisors (18133912344240).

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

5688657838080 is an frugal number, since it uses more digits than its factorization.

5688657838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 5688657838080 in words is "five trillion, six hundred eighty-eight billion, six hundred fifty-seven million, eight hundred thirty-eight thousand, eighty".