80627840899200 has 2016 divisors, whose sum is σ = 348595820604720. Its totient is φ = 18364921344000.

The previous prime is 80627840899171. The next prime is 80627840899271. The reversal of 80627840899200 is 299804872608.

80627840899200 is a `hidden beast` number, since 80 + 6 + 278 + 4 + 0 + 89 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 251 ways as a sum of consecutive naturals, for example, 37835682135 + ... + 37835684265.

Almost surely, 2^{80627840899200} is an apocalyptic number.

80627840899200 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 80627840899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174297910302360).

80627840899200 is an abundant number, since it is smaller than the sum of its proper divisors (267967979705520).

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

80627840899200 is a wasteful number, since it uses less digits than its factorization.

80627840899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 80627840899200 in words is "eighty trillion, six hundred twenty-seven billion, eight hundred forty million, eight hundred ninety-nine thousand, two hundred".