25313827968 has 1024 divisors, whose sum is σ = 97716326400. Its totient is φ = 6325862400.

The previous prime is 25313827963. The next prime is 25313827969. The reversal of 25313827968 is 86972831352.

25313827968 is a `hidden beast` number, since 2 + 531 + 38 + 2 + 79 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25313827963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193235263 + ... + 193235393.

It is an arithmetic number, because the mean of its divisors is an integer number (95426100).

Almost surely, 2^25313827968 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 25313827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48858163200).

25313827968 is an abundant number, since it is smaller than the sum of its proper divisors (72402498432).

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

25313827968 is a wasteful number, since it uses less digits than its factorization.

25313827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 25313827968 in words is "twenty-five billion, three hundred thirteen million, eight hundred twenty-seven thousand, nine hundred sixty-eight".