199841090800 has 240 divisors, whose sum is σ = 535301294080. Its totient is φ = 71197056000.

The previous prime is 199841090791. The next prime is 199841090809. The reversal of 199841090800 is 8090148991.

199841090800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199841090791) and next prime (199841090809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199841090809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61093165 + ... + 61096435.

Almost surely, 2^199841090800 is an apocalyptic number.

199841090800 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 199841090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267650647040).

199841090800 is an abundant number, since it is smaller than the sum of its proper divisors (335460203280).

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

199841090800 is a wasteful number, since it uses less digits than its factorization.

199841090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 49.

The spelling of 199841090800 in words is "one hundred ninety-nine billion, eight hundred forty-one million, ninety thousand, eight hundred".