25344000000 has 630 divisors, whose sum is σ = 99835675212. Its totient is φ = 6144000000.

The previous prime is 25343999983. The next prime is 25344000013. The reversal of 25344000000 is 44352.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2303999995 + ... + 2304000005.

Almost surely, 2^25344000000 is an apocalyptic number.

25344000000 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 25344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49917837606).

25344000000 is an abundant number, since it is smaller than the sum of its proper divisors (74491675212).

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

25344000000 is an frugal number, since it uses more digits than its factorization.

25344000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 25344000000 its reverse (44352), we get a palindrome (25344044352).

The spelling of 25344000000 in words is "twenty-five billion, three hundred forty-four million", and thus it is an aban number.