200800207872 has 264 divisors, whose sum is σ = 655951357152. Its totient is φ = 60847718400.

The previous prime is 200800207859. The next prime is 200800207889. The reversal of 200800207872 is 278702008002.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2700472 + ... + 2773832.

Almost surely, 2^200800207872 is an apocalyptic number.

200800207872 is a gapful number since it is divisible by the number (22) 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 200800207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327975678576).

200800207872 is an abundant number, since it is smaller than the sum of its proper divisors (455151149280).

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

200800207872 is an equidigital number, since it uses as much as digits as its factorization.

200800207872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73407 (or 73377 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 200800207872 in words is "two hundred billion, eight hundred million, two hundred seven thousand, eight hundred seventy-two".