199963113982200 has 384 divisors, whose sum is σ = 729323438616000. Its totient is φ = 50183641497600.

The previous prime is 199963113982193. The next prime is 199963113982211. The reversal of 199963113982200 is 2289311369991.

199963113982200 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 6 + 3 + 11 + 398 + 220 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1668955896 + ... + 1669075704.

Almost surely, 2^{199963113982200} is an apocalyptic number.

199963113982200 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 199963113982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364661719308000).

199963113982200 is an abundant number, since it is smaller than the sum of its proper divisors (529360324633800).

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

199963113982200 is a wasteful number, since it uses less digits than its factorization.

199963113982200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138032 (or 138017 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 199963113982200 in words is "one hundred ninety-nine trillion, nine hundred sixty-three billion, one hundred thirteen million, nine hundred eighty-two thousand, two hundred".