25958800 has 120 divisors (see below), whose sum is σ = 72820736. Its totient is φ = 8709120.

The previous prime is 25958771. The next prime is 25958809. The reversal of 25958800 is 885952.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 25958800.

It is not an unprimeable number, because it can be changed into a prime (25958809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204337 + ... + 204463.

Almost surely, 2^25958800 is an apocalyptic number.

25958800 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 25958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36410368).

25958800 is an abundant number, since it is smaller than the sum of its proper divisors (46861936).

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

25958800 is a wasteful number, since it uses less digits than its factorization.

25958800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 25958800 is about 5094.9779194811. The cubic root of 25958800 is about 296.0930435525.

The spelling of 25958800 in words is "twenty-five million, nine hundred fifty-eight thousand, eight hundred".