204025253200 has 60 divisors (see below), whose sum is σ = 490270121820. Its totient is φ = 81593543680.

The previous prime is 204025253171. The next prime is 204025253207. The reversal of 204025253200 is 2352520402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8880423696 + 195144829504 = 94236^2 + 441752^2 .

It is a super-2 number, since 2×204025253200² (a number of 23 digits) contains 22 as substring.

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 (204025253207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2026452 + ... + 2124748.

It is an arithmetic number, because the mean of its divisors is an integer number (8171168697).

Almost surely, 2^204025253200 is an apocalyptic number.

204025253200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204025253200 is an abundant number, since it is smaller than the sum of its proper divisors (286244868620).

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

204025253200 is a wasteful number, since it uses less digits than its factorization.

204025253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103504 (or 103493 counting only the distinct ones).

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

Adding to 204025253200 its reverse (2352520402), we get a palindrome (206377773602).

The spelling of 204025253200 in words is "two hundred four billion, twenty-five million, two hundred fifty-three thousand, two hundred".