25855200 has 432 divisors, whose sum is σ = 113742720. Its totient is φ = 5598720.

The previous prime is 25855187. The next prime is 25855237. The reversal of 25855200 is 255852.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360791 + ... + 1360809.

Almost surely, 2^25855200 is an apocalyptic number.

25855200 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 25855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

25855200 is an abundant number, since it is smaller than the sum of its proper divisors (87887520).

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

25855200 is a wasteful number, since it uses less digits than its factorization.

25855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 25855200 is about 5084.8008810572. The cubic root of 25855200 is about 295.6986219086.

The spelling of 25855200 in words is "twenty-five million, eight hundred fifty-five thousand, two hundred".