25301234688 has 176 divisors, whose sum is σ = 68783130240. Its totient is φ = 8266973184.

The previous prime is 25301234683. The next prime is 25301234713. The reversal of 25301234688 is 88643210352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25301234681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57633573 + ... + 57634011.

It is an arithmetic number, because the mean of its divisors is an integer number (390813240).

Almost surely, 2^25301234688 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 25301234688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34391565120).

25301234688 is an abundant number, since it is smaller than the sum of its proper divisors (43481895552).

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

25301234688 is a wasteful number, since it uses less digits than its factorization.

25301234688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 25301234688 in words is "twenty-five billion, three hundred one million, two hundred thirty-four thousand, six hundred eighty-eight".