25968854016 has 528 divisors, whose sum is σ = 94205494656. Its totient is φ = 6975258624.

The previous prime is 25968853987. The next prime is 25968854057. The reversal of 25968854016 is 61045886952.

25968854016 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 88 + 540 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29610570 + ... + 29611446.

Almost surely, 2^25968854016 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 25968854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47102747328).

25968854016 is an abundant number, since it is smaller than the sum of its proper divisors (68236640640).

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

25968854016 is an equidigital number, since it uses as much as digits as its factorization.

25968854016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 25968854016 in words is "twenty-five billion, nine hundred sixty-eight million, eight hundred fifty-four thousand, sixteen".