80959346936832 has 704 divisors, whose sum is σ = 290277188296704. Its totient is φ = 19447629742080.

The previous prime is 80959346936777. The next prime is 80959346936843. The reversal of 80959346936832 is 23863964395908.

80959346936832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 147049138 + ... + 147598670.

Almost surely, 2^{80959346936832} 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 80959346936832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145138594148352).

80959346936832 is an abundant number, since it is smaller than the sum of its proper divisors (209317841359872).

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

80959346936832 is a wasteful number, since it uses less digits than its factorization.

80959346936832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549624 (or 549606 counting only the distinct ones).

The product of its (nonzero) digits is 1813985280, while the sum is 75.

The spelling of 80959346936832 in words is "eighty trillion, nine hundred fifty-nine billion, three hundred forty-six million, nine hundred thirty-six thousand, eight hundred thirty-two".