200854916200 has 96 divisors (see below), whose sum is σ = 477104463360. Its totient is φ = 78609772800.

The previous prime is 200854916161. The next prime is 200854916203. The reversal of 200854916200 is 2619458002.

200854916200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200854916200.

It is not an unprimeable number, because it can be changed into a prime (200854916203) 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 23 ways as a sum of consecutive naturals, for example, 3864385 + ... + 3916015.

It is an arithmetic number, because the mean of its divisors is an integer number (4969838160).

Almost surely, 2^200854916200 is an apocalyptic number.

200854916200 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 200854916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238552231680).

200854916200 is an abundant number, since it is smaller than the sum of its proper divisors (276249547160).

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

200854916200 is a wasteful number, since it uses less digits than its factorization.

200854916200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52067 (or 52058 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 200854916200 in words is "two hundred billion, eight hundred fifty-four million, nine hundred sixteen thousand, two hundred".