200251396800 has 2016 divisors, whose sum is σ = 965138227200. Its totient is φ = 39922606080.

The previous prime is 200251396771. The next prime is 200251396837. The reversal of 200251396800 is 8693152002.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 522849409 + ... + 522849791.

It is an arithmetic number, because the mean of its divisors is an integer number (478739200).

Almost surely, 2^200251396800 is an apocalyptic number.

200251396800 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 200251396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482569113600).

200251396800 is an abundant number, since it is smaller than the sum of its proper divisors (764886830400).

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

200251396800 is a wasteful number, since it uses less digits than its factorization.

200251396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 200251396800 in words is "two hundred billion, two hundred fifty-one million, three hundred ninety-six thousand, eight hundred".