25890826648896 has 672 divisors, whose sum is σ = 91001556172800. Its totient is φ = 6944942592000.

The previous prime is 25890826648861. The next prime is 25890826648903. The reversal of 25890826648896 is 69884662809852.

25890826648896 is a `hidden beast` number, since 2 + 58 + 9 + 0 + 82 + 6 + 6 + 488 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108105601 + ... + 108344831.

It is an arithmetic number, because the mean of its divisors is an integer number (135418982400).

Almost surely, 2^{25890826648896} 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 25890826648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45500778086400).

25890826648896 is an abundant number, since it is smaller than the sum of its proper divisors (65110729523904).

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

25890826648896 is a wasteful number, since it uses less digits than its factorization.

25890826648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239339 (or 239326 counting only the distinct ones).

The product of its (nonzero) digits is 5733089280, while the sum is 81.

The spelling of 25890826648896 in words is "twenty-five trillion, eight hundred ninety billion, eight hundred twenty-six million, six hundred forty-eight thousand, eight hundred ninety-six".