200556268320 has 192 divisors, whose sum is σ = 636975239040. Its totient is φ = 53041152000.

The previous prime is 200556268307. The next prime is 200556268321. The reversal of 200556268320 is 23862655002.

It is not an unprimeable number, because it can be changed into a prime (200556268321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34451010 + ... + 34456830.

It is an arithmetic number, because the mean of its divisors is an integer number (3317579370).

Almost surely, 2^200556268320 is an apocalyptic number.

200556268320 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 200556268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318487619520).

200556268320 is an abundant number, since it is smaller than the sum of its proper divisors (436418970720).

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

200556268320 is a wasteful number, since it uses less digits than its factorization.

200556268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 200556268320 in words is "two hundred billion, five hundred fifty-six million, two hundred sixty-eight thousand, three hundred twenty".