80591828768 has 96 divisors (see below), whose sum is σ = 177278092992. Its totient is φ = 35747712000.

The previous prime is 80591828699. The next prime is 80591828771. The reversal of 80591828768 is 86782819508.

It is a Cunningham number, because it is equal to 283887²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 80591828768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24412718 + ... + 24416018.

It is an arithmetic number, because the mean of its divisors is an integer number (1846646802).

Almost surely, 2^80591828768 is an apocalyptic number.

80591828768 is a gapful number since it is divisible by the number (88) 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 80591828768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88639046496).

80591828768 is an abundant number, since it is smaller than the sum of its proper divisors (96686264224).

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

80591828768 is a wasteful number, since it uses less digits than its factorization.

80591828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 62.

The spelling of 80591828768 in words is "eighty billion, five hundred ninety-one million, eight hundred twenty-eight thousand, seven hundred sixty-eight".