25255353200 has 240 divisors, whose sum is σ = 76720089600. Its totient is φ = 7760256000.

The previous prime is 25255353169. The next prime is 25255353209. The reversal of 25255353200 is 235355252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25255353209) 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 47 ways as a sum of consecutive naturals, for example, 2181026 + ... + 2192574.

It is an arithmetic number, because the mean of its divisors is an integer number (319667040).

Almost surely, 2^25255353200 is an apocalyptic number.

25255353200 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 25255353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38360044800).

25255353200 is an abundant number, since it is smaller than the sum of its proper divisors (51464736400).

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

25255353200 is a wasteful number, since it uses less digits than its factorization.

25255353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 32.

The spelling of 25255353200 in words is "twenty-five billion, two hundred fifty-five million, three hundred fifty-three thousand, two hundred".