200504994624 has 280 divisors, whose sum is σ = 650325047328. Its totient is φ = 60578012160.

The previous prime is 200504994623. The next prime is 200504994709. The reversal of 200504994624 is 426499405002.

200504994624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200504994624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200504994623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19782262 + ... + 19792394.

Almost surely, 2^200504994624 is an apocalyptic number.

200504994624 is a gapful number since it is divisible by the number (24) 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 200504994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325162523664).

200504994624 is an abundant number, since it is smaller than the sum of its proper divisors (449820052704).

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

200504994624 is a wasteful number, since it uses less digits than its factorization.

200504994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 200504994624 in words is "two hundred billion, five hundred four million, nine hundred ninety-four thousand, six hundred twenty-four".