80985726581760 has 7920 divisors, whose sum is σ = 423944596262880. Its totient is φ = 14514271027200.

The previous prime is 80985726581681. The next prime is 80985726581779. The reversal of 80985726581760 is 6718562758908.

It is a tau number, because it is divible by the number of its divisors (7920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 2612442792945 + ... + 2612442792975.

It is an arithmetic number, because the mean of its divisors is an integer number (53528358114).

Almost surely, 2^{80985726581760} is an apocalyptic number.

80985726581760 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 80985726581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211972298131440).

80985726581760 is an abundant number, since it is smaller than the sum of its proper divisors (342958869681120).

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

80985726581760 is a wasteful number, since it uses less digits than its factorization.

80985726581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 80985726581760 in words is "eighty trillion, nine hundred eighty-five billion, seven hundred twenty-six million, five hundred eighty-one thousand, seven hundred sixty".