25763306976 has 144 divisors (see below), whose sum is σ = 80332460208. Its totient is φ = 7767244800.

The previous prime is 25763306893. The next prime is 25763306993. The reversal of 25763306976 is 67960336752.

25763306976 is a `hidden beast` number, since 2 + 576 + 3 + 3 + 0 + 69 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×25763306976² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603456 + ... + 644736.

It is an arithmetic number, because the mean of its divisors is an integer number (557864307).

Almost surely, 2^25763306976 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 25763306976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40166230104).

25763306976 is an abundant number, since it is smaller than the sum of its proper divisors (54569153232).

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

25763306976 is a wasteful number, since it uses less digits than its factorization.

25763306976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41505 (or 41494 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 25763306976 in words is "twenty-five billion, seven hundred sixty-three million, three hundred six thousand, nine hundred seventy-six".