79631597612160 has 1920 divisors, whose sum is σ = 326766350156400. Its totient is φ = 18442711203840.

The previous prime is 79631597612057. The next prime is 79631597612191. The reversal of 79631597612160 is 6121679513697.

It is a happy number.

79631597612160 is a `hidden beast` number, since 7 + 9 + 6 + 3 + 1 + 5 + 9 + 7 + 612 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7829565074496 + 71802032537664 = 2798136^2 + 8473608^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17644934064 + ... + 17644938576.

Almost surely, 2^{79631597612160} 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 79631597612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163383175078200).

79631597612160 is an abundant number, since it is smaller than the sum of its proper divisors (247134752544240).

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

79631597612160 is a wasteful number, since it uses less digits than its factorization.

79631597612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 79631597612160 in words is "seventy-nine trillion, six hundred thirty-one billion, five hundred ninety-seven million, six hundred twelve thousand, one hundred sixty".