80985177206496 has 576 divisors, whose sum is σ = 251717070528000. Its totient is φ = 25322186926080.

The previous prime is 80985177206447. The next prime is 80985177206497. The reversal of 80985177206496 is 69460277158908.

80985177206496 is a `hidden beast` number, since 80 + 9 + 8 + 51 + 7 + 7 + 2 + 0 + 6 + 496 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80985177206497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11838204036 + ... + 11838210876.

It is an arithmetic number, because the mean of its divisors is an integer number (437008803000).

Almost surely, 2^{80985177206496} 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 80985177206496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125858535264000).

80985177206496 is an abundant number, since it is smaller than the sum of its proper divisors (170731893321504).

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

80985177206496 is a wasteful number, since it uses less digits than its factorization.

80985177206496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 80985177206496 in words is "eighty trillion, nine hundred eighty-five billion, one hundred seventy-seven million, two hundred six thousand, four hundred ninety-six".