25883664768 has 384 divisors, whose sum is σ = 83641958400. Its totient is φ = 7629189120.

The previous prime is 25883664743. The next prime is 25883664787. The reversal of 25883664768 is 86746638852.

25883664768 is a `hidden beast` number, since 2 + 588 + 3 + 6 + 6 + 47 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (92897280) is a multiple of the sum of its prime factors (630).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58960293 + ... + 58960731.

It is an arithmetic number, because the mean of its divisors is an integer number (217817600).

Almost surely, 2^25883664768 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 25883664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41820979200).

25883664768 is an abundant number, since it is smaller than the sum of its proper divisors (57758293632).

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

25883664768 is a wasteful number, since it uses less digits than its factorization.

25883664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 615 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 25883664768 in words is "twenty-five billion, eight hundred eighty-three million, six hundred sixty-four thousand, seven hundred sixty-eight".