200381569600 has 315 divisors, whose sum is σ = 537786613401. Its totient is φ = 73484582400.

The previous prime is 200381569579. The next prime is 200381569607. The reversal of 200381569600 is 6965183002.

The square root of 200381569600 is 447640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72137365056 + 128244204544 = 268584^2 + 358112^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (200381569607) 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 44 ways as a sum of consecutive naturals, for example, 6463921585 + ... + 6463921615.

Almost surely, 2^200381569600 is an apocalyptic number.

200381569600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200381569600 is the 447640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200381569600

200381569600 is an abundant number, since it is smaller than the sum of its proper divisors (337405043801).

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

200381569600 is an frugal number, since it uses more digits than its factorization.

200381569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 200381569600 in words is "two hundred billion, three hundred eighty-one million, five hundred sixty-nine thousand, six hundred".