25256800 has 72 divisors (see below), whose sum is σ = 62386632. Its totient is φ = 9984000.

The previous prime is 25256771. The next prime is 25256809. The reversal of 25256800 is 865252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25256809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104680 + ... + 104920.

It is an arithmetic number, because the mean of its divisors is an integer number (866481).

Almost surely, 2^25256800 is an apocalyptic number.

25256800 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 25256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193316).

25256800 is an abundant number, since it is smaller than the sum of its proper divisors (37129832).

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

25256800 is a wasteful number, since it uses less digits than its factorization.

25256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 25256800 is about 5025.6143903010. The cubic root of 25256800 is about 293.3995488717.

The spelling of 25256800 in words is "twenty-five million, two hundred fifty-six thousand, eight hundred".