204025252000 has 192 divisors, whose sum is σ = 519973927200. Its totient is φ = 78612480000.

The previous prime is 204025251977. The next prime is 204025252009. The reversal of 204025252000 is 252520402.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1276775824 + 202748476176 = 35732^2 + 450276^2 .

It is not an unprimeable number, because it can be changed into a prime (204025252009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14941176 + ... + 14954824.

Almost surely, 2^204025252000 is an apocalyptic number.

204025252000 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 204025252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259986963600).

204025252000 is an abundant number, since it is smaller than the sum of its proper divisors (315948675200).

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

204025252000 is a wasteful number, since it uses less digits than its factorization.

204025252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13812 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Adding to 204025252000 its reverse (252520402), we get a palindrome (204277772402).

The spelling of 204025252000 in words is "two hundred four billion, twenty-five million, two hundred fifty-two thousand".