25138800 has 90 divisors (see below), whose sum is σ = 87251112. Its totient is φ = 6702720.

The previous prime is 25138783. The next prime is 25138807. The reversal of 25138800 is 883152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25138807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109 + ... + 7091.

Almost surely, 2^25138800 is an apocalyptic number.

25138800 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 25138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43625556).

25138800 is an abundant number, since it is smaller than the sum of its proper divisors (62112312).

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

25138800 is a wasteful number, since it uses less digits than its factorization.

25138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 25138800 is about 5013.8607878560. The cubic root of 25138800 is about 292.9419136485.

The spelling of 25138800 in words is "twenty-five million, one hundred thirty-eight thousand, eight hundred".