79870911180480 has 2688 divisors, whose sum is σ = 336694003776000. Its totient is φ = 17358166425600.

The previous prime is 79870911180469. The next prime is 79870911180499. The reversal of 79870911180480 is 8408111907897.

79870911180480 is a `hidden beast` number, since 7 + 9 + 8 + 70 + 9 + 1 + 1 + 1 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 284238117940 + ... + 284238118220.

Almost surely, 2^{79870911180480} is an apocalyptic number.

79870911180480 is a gapful number since it is divisible by the number (70) 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 79870911180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168347001888000).

79870911180480 is an abundant number, since it is smaller than the sum of its proper divisors (256823092595520).

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

79870911180480 is a wasteful number, since it uses less digits than its factorization.

79870911180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 63.

The spelling of 79870911180480 in words is "seventy-nine trillion, eight hundred seventy billion, nine hundred eleven million, one hundred eighty thousand, four hundred eighty".