25605504288 has 576 divisors, whose sum is σ = 92755353600. Its totient is φ = 6657251328.

The previous prime is 25605504259. The next prime is 25605504293. The reversal of 25605504288 is 88240550652.

It is a happy number.

25605504288 is a `hidden beast` number, since 2 + 5 + 60 + 5 + 504 + 2 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163092306 + ... + 163092462.

It is an arithmetic number, because the mean of its divisors is an integer number (161033600).

Almost surely, 2^25605504288 is an apocalyptic number.

25605504288 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 25605504288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46377676800).

25605504288 is an abundant number, since it is smaller than the sum of its proper divisors (67149849312).

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

25605504288 is a wasteful number, since it uses less digits than its factorization.

25605504288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 25605504288 in words is "twenty-five billion, six hundred five million, five hundred four thousand, two hundred eighty-eight".