79086580125696 has 1248 divisors, whose sum is σ = 282916096794240. Its totient is φ = 21757073817600.

The previous prime is 79086580125673. The next prime is 79086580125731. The reversal of 79086580125696 is 69652108568097.

79086580125696 is a `hidden beast` number, since 7 + 9 + 0 + 8 + 6 + 58 + 0 + 1 + 2 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8682241590 + ... + 8682250698.

It is an arithmetic number, because the mean of its divisors is an integer number (226695590380).

Almost surely, 2^{79086580125696} 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 79086580125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141458048397120).

79086580125696 is an abundant number, since it is smaller than the sum of its proper divisors (203829516668544).

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

79086580125696 is a wasteful number, since it uses less digits than its factorization.

79086580125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 79086580125696 in words is "seventy-nine trillion, eighty-six billion, five hundred eighty million, one hundred twenty-five thousand, six hundred ninety-six".