79822558722816 has 1440 divisors, whose sum is σ = 301509878799360. Its totient is φ = 20438964928512.

The previous prime is 79822558722727. The next prime is 79822558722817. The reversal of 79822558722816 is 61822785522897.

79822558722816 is a `hidden beast` number, since 7 + 9 + 8 + 2 + 2 + 5 + 587 + 2 + 28 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (79822558722817) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43217410405 + ... + 43217412251.

Almost surely, 2^{79822558722816} 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 79822558722816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150754939399680).

79822558722816 is an abundant number, since it is smaller than the sum of its proper divisors (221687320076544).

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

79822558722816 is a wasteful number, since it uses less digits than its factorization.

79822558722816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2528 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 72.

The spelling of 79822558722816 in words is "seventy-nine trillion, eight hundred twenty-two billion, five hundred fifty-eight million, seven hundred twenty-two thousand, eight hundred sixteen".