25667204200 has 288 divisors, whose sum is σ = 69571172160. Its totient is φ = 8716646400.

The previous prime is 25667204161. The next prime is 25667204207. The reversal of 25667204200 is 240276652.

It is not an unprimeable number, because it can be changed into a prime (25667204207) 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 71 ways as a sum of consecutive naturals, for example, 227143344 + ... + 227143456.

It is an arithmetic number, because the mean of its divisors is an integer number (241566570).

Almost surely, 2^25667204200 is an apocalyptic number.

25667204200 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 25667204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34785586080).

25667204200 is an abundant number, since it is smaller than the sum of its proper divisors (43903967960).

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

25667204200 is a wasteful number, since it uses less digits than its factorization.

25667204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 25667204200 in words is "twenty-five billion, six hundred sixty-seven million, two hundred four thousand, two hundred".