80813969107200 has 2592 divisors, whose sum is σ = 346343852574720. Its totient is φ = 17596602777600.

The previous prime is 80813969107139. The next prime is 80813969107259. The reversal of 80813969107200 is 270196931808.

80813969107200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 128072850885 + ... + 128072851515.

Almost surely, 2^{80813969107200} is an apocalyptic number.

80813969107200 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 80813969107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173171926287360).

80813969107200 is an abundant number, since it is smaller than the sum of its proper divisors (265529883467520).

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

80813969107200 is a wasteful number, since it uses less digits than its factorization.

80813969107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 80813969107200 in words is "eighty trillion, eight hundred thirteen billion, nine hundred sixty-nine million, one hundred seven thousand, two hundred".