80586446304 has 576 divisors, whose sum is σ = 279143262720. Its totient is φ = 19798732800.

The previous prime is 80586446299. The next prime is 80586446371. The reversal of 80586446304 is 40364468508.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 243463419 + ... + 243463749.

It is an arithmetic number, because the mean of its divisors is an integer number (484623720).

Almost surely, 2^80586446304 is an apocalyptic number.

80586446304 is a gapful number since it is divisible by the number (84) 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 80586446304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139571631360).

80586446304 is an abundant number, since it is smaller than the sum of its proper divisors (198556816416).

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

80586446304 is a wasteful number, since it uses less digits than its factorization.

80586446304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 80586446304 in words is "eighty billion, five hundred eighty-six million, four hundred forty-six thousand, three hundred four".