25258800 has 240 divisors, whose sum is σ = 96438272. Its totient is φ = 5529600.

The previous prime is 25258781. The next prime is 25258813. The reversal of 25258800 is 885252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 260352 + ... + 260448.

Almost surely, 2^25258800 is an apocalyptic number.

25258800 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 25258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48219136).

25258800 is an abundant number, since it is smaller than the sum of its proper divisors (71179472).

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

25258800 is a wasteful number, since it uses less digits than its factorization.

25258800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 25258800 is about 5025.8133670084. The cubic root of 25258800 is about 293.4072931044.

It can be divided in two parts, 2525 and 8800, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 25258800 in words is "twenty-five million, two hundred fifty-eight thousand, eight hundred".