79915116960 has 288 divisors, whose sum is σ = 312048277632. Its totient is φ = 18244085760.

The previous prime is 79915116959. The next prime is 79915116973. The reversal of 79915116960 is 6961151997.

It is a happy number.

79915116960 is a `hidden beast` number, since 7 + 9 + 9 + 1 + 511 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 79915116897 and 79915116906.

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 47 ways as a sum of consecutive naturals, for example, 9138190 + ... + 9146930.

It is an arithmetic number, because the mean of its divisors is an integer number (1083500964).

Almost surely, 2^79915116960 is an apocalyptic number.

79915116960 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 79915116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156024138816).

79915116960 is an abundant number, since it is smaller than the sum of its proper divisors (232133160672).

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

79915116960 is a wasteful number, since it uses less digits than its factorization.

79915116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9665 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 79915116960 in words is "seventy-nine billion, nine hundred fifteen million, one hundred sixteen thousand, nine hundred sixty".