80579014314900 has 216 divisors, whose sum is σ = 241362554057856. Its totient is φ = 20754367257600.

The previous prime is 80579014314853. The next prime is 80579014314913. The reversal of 80579014314900 is 941341097508.

80579014314900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×80579014314900⁵ (a number of 71 digits) contains 55555 as substring.

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 71 ways as a sum of consecutive naturals, for example, 55549845 + ... + 56981955.

Almost surely, 2^{80579014314900} 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 80579014314900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120681277028928).

80579014314900 is an abundant number, since it is smaller than the sum of its proper divisors (160783539742956).

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

80579014314900 is a wasteful number, since it uses less digits than its factorization.

80579014314900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432339 (or 1432295 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 80579014314900 in words is "eighty trillion, five hundred seventy-nine billion, fourteen million, three hundred fourteen thousand, nine hundred".