25056000 has 288 divisors, whose sum is σ = 95659200. Its totient is φ = 6451200.

The previous prime is 25055999. The next prime is 25056013. The reversal of 25056000 is 65052.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863986 + ... + 864014.

It is an arithmetic number, because the mean of its divisors is an integer number (332150).

Almost surely, 2^25056000 is an apocalyptic number.

25056000 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 25056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47829600).

25056000 is an abundant number, since it is smaller than the sum of its proper divisors (70603200).

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

25056000 is an equidigital number, since it uses as much as digits as its factorization.

25056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 25056000 is about 5005.5968675074. The cubic root of 25056000 is about 292.6199376644.

The spelling of 25056000 in words is "twenty-five million, fifty-six thousand".