79999557120 has 320 divisors, whose sum is σ = 324762071040. Its totient is φ = 18285502464.

The previous prime is 79999557103. The next prime is 79999557149. The reversal of 79999557120 is 2175599997.

79999557120 is a `hidden beast` number, since 79 + 9 + 9 + 9 + 557 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×79999557120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 401169 + ... + 566511.

It is an arithmetic number, because the mean of its divisors is an integer number (1014881472).

Almost surely, 2^79999557120 is an apocalyptic number.

79999557120 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 79999557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162381035520).

79999557120 is an abundant number, since it is smaller than the sum of its proper divisors (244762513920).

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

79999557120 is a wasteful number, since it uses less digits than its factorization.

79999557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165382 (or 165360 counting only the distinct ones).

The product of its (nonzero) digits is 16074450, while the sum is 63.

The spelling of 79999557120 in words is "seventy-nine billion, nine hundred ninety-nine million, five hundred fifty-seven thousand, one hundred twenty".