199910901080000 has 280 divisors, whose sum is σ = 540857038283760. Its totient is φ = 72684380160000.

The previous prime is 199910901079997. The next prime is 199910901080003. The reversal of 199910901080000 is 80109019991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199910901079997) and next prime (199910901080003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199910901080003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3464091146 + ... + 3464148854.

Almost surely, 2^{199910901080000} is an apocalyptic number.

199910901080000 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 199910901080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270428519141880).

199910901080000 is an abundant number, since it is smaller than the sum of its proper divisors (340946137203760).

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

199910901080000 is an equidigital number, since it uses as much as digits as its factorization.

199910901080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65625 (or 65600 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 47.

The spelling of 199910901080000 in words is "one hundred ninety-nine trillion, nine hundred ten billion, nine hundred one million, eighty thousand".