200200013323200 has 1008 divisors, whose sum is σ = 789872458677120. Its totient is φ = 47682302976000.

The previous prime is 200200013323199. The next prime is 200200013323327. The reversal of 200200013323200 is 2323310002002.

It is a happy number.

200200013323200 is a `hidden beast` number, since 200 + 200 + 0 + 1 + 33 + 232 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 18569701810 + ... + 18569712590.

It is an arithmetic number, because the mean of its divisors is an integer number (783603629640).

Almost surely, 2^{200200013323200} is an apocalyptic number.

200200013323200 is a gapful number since it is divisible by the number (20) 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 200200013323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394936229338560).

200200013323200 is an abundant number, since it is smaller than the sum of its proper divisors (589672445353920).

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

200200013323200 is a wasteful number, since it uses less digits than its factorization.

200200013323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 200200013323200 its reverse (2323310002002), we get a palindrome (202523323325202).

The spelling of 200200013323200 in words is "two hundred trillion, two hundred billion, thirteen million, three hundred twenty-three thousand, two hundred".