80557599360 has 768 divisors, whose sum is σ = 317472307200. Its totient is φ = 17286635520.

The previous prime is 80557599307. The next prime is 80557599371. The reversal of 80557599360 is 6399575508.

It is a self number, because there is not a number n which added to its sum of digits gives 80557599360.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127666245 + ... + 127666875.

It is an arithmetic number, because the mean of its divisors is an integer number (413375400).

Almost surely, 2^80557599360 is an apocalyptic number.

80557599360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80557599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158736153600).

80557599360 is an abundant number, since it is smaller than the sum of its proper divisors (236914707840).

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

80557599360 is a wasteful number, since it uses less digits than its factorization.

80557599360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 80557599360 in words is "eighty billion, five hundred fifty-seven million, five hundred ninety-nine thousand, three hundred sixty".