25089120 has 288 divisors, whose sum is σ = 103783680. Its totient is φ = 5391360.

The previous prime is 25089073. The next prime is 25089121. The reversal of 25089120 is 2198052.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25089121) 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 47 ways as a sum of consecutive naturals, for example, 191455 + ... + 191585.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^25089120 is an apocalyptic number.

25089120 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 25089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

25089120 is an abundant number, since it is smaller than the sum of its proper divisors (78694560).

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

25089120 is a wasteful number, since it uses less digits than its factorization.

25089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 25089120 is about 5008.9040717506. The cubic root of 25089120 is about 292.7488130533.

It can be divided in two parts, 2508 and 9120, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 25089120 in words is "twenty-five million, eighty-nine thousand, one hundred twenty".