80893036224 has 672 divisors, whose sum is σ = 313013116416. Its totient is φ = 19289456640.

The previous prime is 80893036117. The next prime is 80893036253. The reversal of 80893036224 is 42263039808.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 80893036224.

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, 177008604 + ... + 177009060.

It is an arithmetic number, because the mean of its divisors is an integer number (465793328).

Almost surely, 2^80893036224 is an apocalyptic number.

80893036224 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 80893036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156506558208).

80893036224 is an abundant number, since it is smaller than the sum of its proper divisors (232120080192).

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

80893036224 is a wasteful number, since it uses less digits than its factorization.

80893036224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 80893036224 in words is "eighty billion, eight hundred ninety-three million, thirty-six thousand, two hundred twenty-four".