200510903328 has 72 divisors (see below), whose sum is σ = 532760740848. Its totient is φ = 66031485312.

The previous prime is 200510903279. The next prime is 200510903363. The reversal of 200510903328 is 823309015002.

It is a super-2 number, since 2×200510903328² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509751 + ... + 812937.

It is an arithmetic number, because the mean of its divisors is an integer number (7399454734).

Almost surely, 2^200510903328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200510903328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266380370424).

200510903328 is an abundant number, since it is smaller than the sum of its proper divisors (332249837520).

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

200510903328 is an equidigital number, since it uses as much as digits as its factorization.

200510903328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303366 (or 303275 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 200510903328 in words is "two hundred billion, five hundred ten million, nine hundred three thousand, three hundred twenty-eight".