25285120 has 160 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 8060928.

The previous prime is 25285109. The next prime is 25285121. The reversal of 25285120 is 2158252.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (25285121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304599 + ... + 304681.

Almost surely, 2^25285120 is an apocalyptic number.

25285120 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 25285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

25285120 is an abundant number, since it is smaller than the sum of its proper divisors (48960128).

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

25285120 is an equidigital number, since it uses as much as digits as its factorization.

25285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 25285120 is about 5028.4311668750. The cubic root of 25285120 is about 293.5091691397.

The spelling of 25285120 in words is "twenty-five million, two hundred eighty-five thousand, one hundred twenty".