25452144000 has 640 divisors, whose sum is σ = 97037740800. Its totient is φ = 6607872000.

The previous prime is 25452143999. The next prime is 25452144007. The reversal of 25452144000 is 44125452.

25452144000 is a `hidden beast` number, since 2 + 5 + 45 + 214 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25452144007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53135761 + ... + 53136239.

It is an arithmetic number, because the mean of its divisors is an integer number (151621470).

Almost surely, 2^25452144000 is an apocalyptic number.

25452144000 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 25452144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48518870400).

25452144000 is an abundant number, since it is smaller than the sum of its proper divisors (71585596800).

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

25452144000 is an equidigital number, since it uses as much as digits as its factorization.

25452144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 25452144000 its reverse (44125452), we get a palindrome (25496269452).

The spelling of 25452144000 in words is "twenty-five billion, four hundred fifty-two million, one hundred forty-four thousand".