25233804288 has 616 divisors, whose sum is σ = 94506551040. Its totient is φ = 6539304960.

The previous prime is 25233804257. The next prime is 25233804317. The reversal of 25233804288 is 88240833252.

It is a happy number.

25233804288 is a `hidden beast` number, since 2 + 523 + 3 + 8 + 0 + 42 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (616).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57479973 + ... + 57480411.

Almost surely, 2^25233804288 is an apocalyptic number.

25233804288 is a gapful number since it is divisible by the number (28) 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 25233804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47253275520).

25233804288 is an abundant number, since it is smaller than the sum of its proper divisors (69272746752).

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

25233804288 is an equidigital number, since it uses as much as digits as its factorization.

25233804288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 25233804288 in words is "twenty-five billion, two hundred thirty-three million, eight hundred four thousand, two hundred eighty-eight".