199465580800 has 108 divisors (see below), whose sum is σ = 493913762496. Its totient is φ = 79753062400.

The previous prime is 199465580779. The next prime is 199465580819. The reversal of 199465580800 is 8085564991.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20417517 + ... + 20427283.

Almost surely, 2^199465580800 is an apocalyptic number.

199465580800 is a gapful number since it is divisible by the number (10) 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 199465580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246956881248).

199465580800 is an abundant number, since it is smaller than the sum of its proper divisors (294448181696).

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

199465580800 is an equidigital number, since it uses as much as digits as its factorization.

199465580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 199465580800 in words is "one hundred ninety-nine billion, four hundred sixty-five million, five hundred eighty thousand, eight hundred".