79097960160 has 192 divisors, whose sum is σ = 278503142400. Its totient is φ = 20966294016.

The previous prime is 79097960129. The next prime is 79097960177. The reversal of 79097960160 is 6106979097.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79097960097 and 79097960106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666621 + ... + 776259.

It is an arithmetic number, because the mean of its divisors is an integer number (1450537200).

Almost surely, 2^79097960160 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 79097960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139251571200).

79097960160 is an abundant number, since it is smaller than the sum of its proper divisors (199405182240).

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

79097960160 is a wasteful number, since it uses less digits than its factorization.

79097960160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109830 (or 109816 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 79097960160 in words is "seventy-nine billion, ninety-seven million, nine hundred sixty thousand, one hundred sixty".