80085196800 has 672 divisors, whose sum is σ = 336415075200. Its totient is φ = 18296340480.

The previous prime is 80085196777. The next prime is 80085196801. The reversal of 80085196800 is 869158008.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80085196801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38706166 + ... + 38708234.

Almost surely, 2^80085196800 is an apocalyptic number.

80085196800 is a gapful number since it is divisible by the number (80) 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 80085196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168207537600).

80085196800 is an abundant number, since it is smaller than the sum of its proper divisors (256329878400).

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

80085196800 is a wasteful number, since it uses less digits than its factorization.

80085196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 80085196800 in words is "eighty billion, eighty-five million, one hundred ninety-six thousand, eight hundred".