80930083584 has 576 divisors, whose sum is σ = 270581907456. Its totient is φ = 20950351872.

The previous prime is 80930083571. The next prime is 80930083607. The reversal of 80930083584 is 48538003908.

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

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 63 ways as a sum of consecutive naturals, for example, 356520079 + ... + 356520305.

It is an arithmetic number, because the mean of its divisors is an integer number (469760256).

Almost surely, 2^80930083584 is an apocalyptic number.

80930083584 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 80930083584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135290953728).

80930083584 is an abundant number, since it is smaller than the sum of its proper divisors (189651823872).

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

80930083584 is a wasteful number, since it uses less digits than its factorization.

80930083584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 80930083584 in words is "eighty billion, nine hundred thirty million, eighty-three thousand, five hundred eighty-four".