25088800 has 72 divisors (see below), whose sum is σ = 66839472. Its totient is φ = 9120000.

The previous prime is 25088783. The next prime is 25088803. The reversal of 25088800 is 888052.

It is not an unprimeable number, because it can be changed into a prime (25088803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7375 + ... + 10225.

It is an arithmetic number, because the mean of its divisors is an integer number (928326).

Almost surely, 2^25088800 is an apocalyptic number.

25088800 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 25088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33419736).

25088800 is an abundant number, since it is smaller than the sum of its proper divisors (41750672).

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

25088800 is a wasteful number, since it uses less digits than its factorization.

25088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 25088800 is about 5008.8721285335. The cubic root of 25088800 is about 292.7475684233.

It can be divided in two parts, 25088 and 800, that multiplied together give a square (20070400 = 4480²).

The spelling of 25088800 in words is "twenty-five million, eighty-eight thousand, eight hundred".