79086274560 has 576 divisors, whose sum is σ = 292272926400. Its totient is φ = 20495794176.

The previous prime is 79086274507. The next prime is 79086274573. The reversal of 79086274560 is 6547268097.

79086274560 is a `hidden beast` number, since 7 + 9 + 0 + 8 + 6 + 2 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 79086274497 and 79086274506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92067411 + ... + 92068269.

It is an arithmetic number, because the mean of its divisors is an integer number (507418275).

Almost surely, 2^79086274560 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 79086274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146136463200).

79086274560 is an abundant number, since it is smaller than the sum of its proper divisors (213186651840).

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

79086274560 is an equidigital number, since it uses as much as digits as its factorization.

79086274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 79086274560 in words is "seventy-nine billion, eighty-six million, two hundred seventy-four thousand, five hundred sixty".