200256205600 has 576 divisors, whose sum is σ = 603411379200. Its totient is φ = 63995904000.

The previous prime is 200256205579. The next prime is 200256205607. The reversal of 200256205600 is 6502652002.

It is not an unprimeable number, because it can be changed into a prime (200256205607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134489656 + ... + 134491144.

It is an arithmetic number, because the mean of its divisors is an integer number (1047589200).

Almost surely, 2^200256205600 is an apocalyptic number.

200256205600 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 200256205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301705689600).

200256205600 is an abundant number, since it is smaller than the sum of its proper divisors (403155173600).

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

200256205600 is a wasteful number, since it uses less digits than its factorization.

200256205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 200256205600 its reverse (6502652002), we get a palindrome (206758857602).

The spelling of 200256205600 in words is "two hundred billion, two hundred fifty-six million, two hundred five thousand, six hundred".