25916800 has 192 divisors, whose sum is σ = 79682400. Its totient is φ = 8110080.

The previous prime is 25916783. The next prime is 25916827. The reversal of 25916800 is 861952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291156 + ... + 291244.

Almost surely, 2^25916800 is an apocalyptic number.

25916800 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 25916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841200).

25916800 is an abundant number, since it is smaller than the sum of its proper divisors (53765600).

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

25916800 is a wasteful number, since it uses less digits than its factorization.

25916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 25916800 is about 5090.8545451623. The cubic root of 25916800 is about 295.9332695934.

It can be divided in two parts, 2 and 5916800, that multiplied together give a square (11833600 = 3440²).

The spelling of 25916800 in words is "twenty-five million, nine hundred sixteen thousand, eight hundred".