80964459313920 has 1728 divisors, whose sum is σ = 366078728171520. Its totient is φ = 16032647872512.

The previous prime is 80964459313897. The next prime is 80964459313949. The reversal of 80964459313920 is 2931395446908.

80964459313920 is a `hidden beast` number, since 8 + 0 + 9 + 6 + 4 + 4 + 593 + 1 + 39 + 2 + 0 = 666.

It is a super-3 number, since 3×80964459313920³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6540462291 + ... + 6540474669.

It is an arithmetic number, because the mean of its divisors is an integer number (211851115840).

Almost surely, 2^{80964459313920} is an apocalyptic number.

80964459313920 is a gapful number since it is divisible by the number (80) 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 80964459313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183039364085760).

80964459313920 is an abundant number, since it is smaller than the sum of its proper divisors (285114268857600).

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

80964459313920 is a wasteful number, since it uses less digits than its factorization.

80964459313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12810 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 80964459313920 in words is "eighty trillion, nine hundred sixty-four billion, four hundred fifty-nine million, three hundred thirteen thousand, nine hundred twenty".