25440000000 has 384 divisors, whose sum is σ = 86378685120. Its totient is φ = 6656000000.

The previous prime is 25439999993. The next prime is 25440000007. The reversal of 25440000000 is 4452.

It is an interprime number because it is at equal distance from previous prime (25439999993) and next prime (25440000007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25440000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479999974 + ... + 480000026.

Almost surely, 2^25440000000 is an apocalyptic number.

25440000000 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 25440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43189342560).

25440000000 is an abundant number, since it is smaller than the sum of its proper divisors (60938685120).

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

25440000000 is an frugal number, since it uses more digits than its factorization.

25440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 25440000000 its reverse (4452), we get a palindrome (25440004452).

The spelling of 25440000000 in words is "twenty-five billion, four hundred forty million", and thus it is an aban number.