79735008496122 has 48 divisors (see below), whose sum is σ = 203808070881792. Its totient is φ = 22046546126880.

The previous prime is 79735008496097. The next prime is 79735008496177. The reversal of 79735008496122 is 22169480053797.

79735008496122 is a `hidden beast` number, since 7 + 9 + 7 + 3 + 5 + 0 + 0 + 8 + 4 + 9 + 612 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 79735008496122.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10206730413 + ... + 10206738224.

It is an arithmetic number, because the mean of its divisors is an integer number (4246001476704).

It is a 1-persistent number, because it is pandigital, but 2⋅79735008496122 = 159470016992244 is not.

Almost surely, 2^{79735008496122} is an apocalyptic number.

79735008496122 is an abundant number, since it is smaller than the sum of its proper divisors (124073062385670).

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

79735008496122 is a wasteful number, since it uses less digits than its factorization.

79735008496122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20413468683 (or 20413468680 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 79735008496122 in words is "seventy-nine trillion, seven hundred thirty-five billion, eight million, four hundred ninety-six thousand, one hundred twenty-two".