204523205200 has 120 divisors (see below), whose sum is σ = 503164224000. Its totient is φ = 79860718080.

The previous prime is 204523205167. The next prime is 204523205203. The reversal of 204523205200 is 2502325402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204523205203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4194561 + ... + 4243039.

It is an arithmetic number, because the mean of its divisors is an integer number (4193035200).

Almost surely, 2^204523205200 is an apocalyptic number.

204523205200 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 204523205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251582112000).

204523205200 is an abundant number, since it is smaller than the sum of its proper divisors (298641018800).

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

204523205200 is a wasteful number, since it uses less digits than its factorization.

204523205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48749 (or 48738 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 204523205200 in words is "two hundred four billion, five hundred twenty-three million, two hundred five thousand, two hundred".