25565144 has 64 divisors (see below), whose sum is σ = 57853440. Its totient is φ = 10447360.

The previous prime is 25565143. The next prime is 25565147. The reversal of 25565144 is 44156552.

25565144 = 26⁴ + 27⁴ + ... + 42⁴.

Its product of digits (24000) is a multiple of the sum of its prime factors (800).

It is a self number, because there is not a number n which added to its sum of digits gives 25565144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25565143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34037 + ... + 34779.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 2^25565144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25565144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926720).

25565144 is an abundant number, since it is smaller than the sum of its proper divisors (32288296).

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

25565144 is a wasteful number, since it uses less digits than its factorization.

25565144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its digits is 24000, while the sum is 32.

The square root of 25565144 is about 5056.1985720500. The cubic root of 25565144 is about 294.5886980936.

The spelling of 25565144 in words is "twenty-five million, five hundred sixty-five thousand, one hundred forty-four".