200209963255128 has 256 divisors, whose sum is σ = 599112537408000. Its totient is φ = 61744681410048.

The previous prime is 200209963255051. The next prime is 200209963255129. The reversal of 200209963255128 is 821552369902002.

It is a happy number.

200209963255128 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 9 + 9 + 63 + 2 + 551 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200209963255129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1237517250 + ... + 1237679022.

It is an arithmetic number, because the mean of its divisors is an integer number (2340283349250).

Almost surely, 2^{200209963255128} 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 200209963255128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299556268704000).

200209963255128 is an abundant number, since it is smaller than the sum of its proper divisors (398902574152872).

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

200209963255128 is a wasteful number, since it uses less digits than its factorization.

200209963255128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168863 (or 168853 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 200209963255128 in words is "two hundred trillion, two hundred nine billion, nine hundred sixty-three million, two hundred fifty-five thousand, one hundred twenty-eight".