79588954080 has 384 divisors, whose sum is σ = 296867289600. Its totient is φ = 20105003520.

The previous prime is 79588954073. The next prime is 79588954129. The reversal of 79588954080 is 8045988597.

It is a happy number.

79588954080 is a `hidden beast` number, since 7 + 9 + 5 + 8 + 8 + 9 + 540 + 80 = 666.

It is a super-2 number, since 2×79588954080² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79588953999 and 79588954017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6642495 + ... + 6654465.

It is an arithmetic number, because the mean of its divisors is an integer number (773091900).

Almost surely, 2^79588954080 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 79588954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148433644800).

79588954080 is an abundant number, since it is smaller than the sum of its proper divisors (217278335520).

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

79588954080 is a wasteful number, since it uses less digits than its factorization.

79588954080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 79588954080 in words is "seventy-nine billion, five hundred eighty-eight million, nine hundred fifty-four thousand, eighty".