79121460960 has 864 divisors, whose sum is σ = 305329227840. Its totient is φ = 19313344512.

The previous prime is 79121460941. The next prime is 79121460973. The reversal of 79121460960 is 6906412197.

79121460960 is a `hidden beast` number, since 7 + 9 + 121 + 460 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 700189864 + ... + 700189976.

It is an arithmetic number, because the mean of its divisors is an integer number (353390310).

Almost surely, 2^79121460960 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 79121460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152664613920).

79121460960 is an abundant number, since it is smaller than the sum of its proper divisors (226207766880).

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

79121460960 is a wasteful number, since it uses less digits than its factorization.

79121460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 79121460960 in words is "seventy-nine billion, one hundred twenty-one million, four hundred sixty thousand, nine hundred sixty".