80085103912800 has 864 divisors, whose sum is σ = 338126922491904. Its totient is φ = 17450256384000.

The previous prime is 80085103912789. The next prime is 80085103912813. The reversal of 80085103912800 is 821930158008.

It is a happy number.

80085103912800 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 510 + 3 + 9 + 128 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104298280 + ... + 105063320.

It is an arithmetic number, because the mean of its divisors is an integer number (391350604736).

Almost surely, 2^{80085103912800} is an apocalyptic number.

80085103912800 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 80085103912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169063461245952).

80085103912800 is an abundant number, since it is smaller than the sum of its proper divisors (258041818579104).

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

80085103912800 is a wasteful number, since it uses less digits than its factorization.

80085103912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765172 (or 765156 counting only the distinct ones).

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

The spelling of 80085103912800 in words is "eighty trillion, eighty-five billion, one hundred three million, nine hundred twelve thousand, eight hundred".