25253404200 has 144 divisors (see below), whose sum is σ = 86247158400. Its totient is φ = 6620073600.

The previous prime is 25253404177. The next prime is 25253404201. The reversal of 25253404200 is 240435252.

It is a happy number.

25253404200 is a `hidden beast` number, since 2 + 5 + 2 + 53 + 404 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (25253404201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12696 + ... + 225095.

It is an arithmetic number, because the mean of its divisors is an integer number (598938600).

Almost surely, 2^25253404200 is an apocalyptic number.

25253404200 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 25253404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43123579200).

25253404200 is an abundant number, since it is smaller than the sum of its proper divisors (60993754200).

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

25253404200 is a wasteful number, since it uses less digits than its factorization.

25253404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237872 (or 237860 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 25253404200 its reverse (240435252), we get a palindrome (25493839452).

The spelling of 25253404200 in words is "twenty-five billion, two hundred fifty-three million, four hundred four thousand, two hundred".