25132800 has 432 divisors, whose sum is σ = 109492992. Its totient is φ = 4915200.

The previous prime is 25132777. The next prime is 25132841. The reversal of 25132800 is 823152.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478392 + ... + 1478408.

It is an arithmetic number, because the mean of its divisors is an integer number (253456).

Almost surely, 2^25132800 is an apocalyptic number.

25132800 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 25132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54746496).

25132800 is an abundant number, since it is smaller than the sum of its proper divisors (84360192).

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

25132800 is a wasteful number, since it uses less digits than its factorization.

25132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 25132800 is about 5013.2624108459. The cubic root of 25132800 is about 292.9186058357.

Adding to 25132800 its reverse (823152), we get a palindrome (25955952).

The spelling of 25132800 in words is "twenty-five million, one hundred thirty-two thousand, eight hundred".