25638576288 has 288 divisors, whose sum is σ = 79216220160. Its totient is φ = 7229813760.

The previous prime is 25638576287. The next prime is 25638576311. The reversal of 25638576288 is 88267583652.

It is not an unprimeable number, because it can be changed into a prime (25638576287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9554595 + ... + 9557277.

It is an arithmetic number, because the mean of its divisors is an integer number (275056320).

Almost surely, 2^25638576288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25638576288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39608110080).

25638576288 is an abundant number, since it is smaller than the sum of its proper divisors (53577643872).

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

25638576288 is a wasteful number, since it uses less digits than its factorization.

25638576288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2751 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 25638576288 in words is "twenty-five billion, six hundred thirty-eight million, five hundred seventy-six thousand, two hundred eighty-eight".