25388509968 has 80 divisors (see below), whose sum is σ = 73024671360. Its totient is φ = 8445389184.

The previous prime is 25388509963. The next prime is 25388510009. The reversal of 25388509968 is 86990588352.

25388509968 is a `hidden beast` number, since 2 + 5 + 38 + 8 + 509 + 96 + 8 = 666.

It is a super-2 number, since 2×25388509968² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25388509963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150046 + ... + 270722.

It is an arithmetic number, because the mean of its divisors is an integer number (912808392).

Almost surely, 2^25388509968 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 25388509968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36512335680).

25388509968 is an abundant number, since it is smaller than the sum of its proper divisors (47636161392).

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

25388509968 is a wasteful number, since it uses less digits than its factorization.

25388509968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121181 (or 121169 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 25388509968 in words is "twenty-five billion, three hundred eighty-eight million, five hundred nine thousand, nine hundred sixty-eight".