79658912160 has 240 divisors, whose sum is σ = 290825073000. Its totient is φ = 20509784064.

The previous prime is 79658912153. The next prime is 79658912209. The reversal of 79658912160 is 6121985697.

It can be written as a sum of positive squares in 4 ways, for example, as 71873320464 + 7785591696 = 268092^2 + 88236^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 79658912097 and 79658912106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269866 + ... + 481814.

Almost surely, 2^79658912160 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 79658912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145412536500).

79658912160 is an abundant number, since it is smaller than the sum of its proper divisors (211166160840).

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

79658912160 is a wasteful number, since it uses less digits than its factorization.

79658912160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212005 (or 211988 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 79658912160 in words is "seventy-nine billion, six hundred fifty-eight million, nine hundred twelve thousand, one hundred sixty".