80572932564800 has 84 divisors (see below), whose sum is σ = 213510523954476. Its totient is φ = 29750005862400.

The previous prime is 80572932564769. The next prime is 80572932564811. The reversal of 80572932564800 is 846523927508.

It can be written as a sum of positive squares in 6 ways, for example, as 19386620344576 + 61186312220224 = 4403024^2 + 7822168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80572932564800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1936828541 + ... + 1936870140.

It is an arithmetic number, because the mean of its divisors is an integer number (2541791951839).

Almost surely, 2^{80572932564800} is an apocalyptic number.

80572932564800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80572932564800 is an abundant number, since it is smaller than the sum of its proper divisors (132937591389676).

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

80572932564800 is a wasteful number, since it uses less digits than its factorization.

80572932564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873698716 (or 3873698701 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 59.

The spelling of 80572932564800 in words is "eighty trillion, five hundred seventy-two billion, nine hundred thirty-two million, five hundred sixty-four thousand, eight hundred".