79607589120 has 864 divisors, whose sum is σ = 306836449920. Its totient is φ = 18964807680.

The previous prime is 79607589119. The next prime is 79607589143. The reversal of 79607589120 is 2198570697.

79607589120 is a `hidden beast` number, since 7 + 9 + 607 + 5 + 8 + 9 + 1 + 20 = 666.

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, 607691455 + ... + 607691585.

It is an arithmetic number, because the mean of its divisors is an integer number (355134780).

Almost surely, 2^79607589120 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 79607589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153418224960).

79607589120 is an abundant number, since it is smaller than the sum of its proper divisors (227228860800).

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

79607589120 is a wasteful number, since it uses less digits than its factorization.

79607589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 79607589120 in words is "seventy-nine billion, six hundred seven million, five hundred eighty-nine thousand, one hundred twenty".