25560 has 48 divisors (see below), whose sum is σ = 84240. Its totient is φ = 6720.

The previous prime is 25541. The next prime is 25561. The reversal of 25560 is 6552.

25560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25561) by changing a digit.

25560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2²⁵⁵⁶⁰ is an apocalyptic number.

25560 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 25560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120).

25560 is an abundant number, since it is smaller than the sum of its proper divisors (58680).

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

25560 is a wasteful number, since it uses less digits than its factorization.

25560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

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

The square root of 25560 is about 159.8749511337. The cubic root of 25560 is about 29.4568938561.

It can be divided in two parts, 25 and 560, that added together give a palindrome (585).

The spelling of 25560 in words is "twenty-five thousand, five hundred sixty".