79822081152 has 320 divisors, whose sum is σ = 260020268640. Its totient is φ = 24106844160.

The previous prime is 79822081103. The next prime is 79822081177. The reversal of 79822081152 is 25118022897.

It is a junction number, because it is equal to n+sod(n) for n = 79822081098 and 79822081107.

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 39 ways as a sum of consecutive naturals, for example, 39573648 + ... + 39575664.

Almost surely, 2^79822081152 is an apocalyptic number.

79822081152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79822081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130010134320).

79822081152 is an abundant number, since it is smaller than the sum of its proper divisors (180198187488).

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

79822081152 is a wasteful number, since it uses less digits than its factorization.

79822081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 79822081152 in words is "seventy-nine billion, eight hundred twenty-two million, eighty-one thousand, one hundred fifty-two".