25822630656 has 576 divisors, whose sum is σ = 85710643200. Its totient is φ = 7631179776.

The previous prime is 25822630651. The next prime is 25822630667. The reversal of 25822630656 is 65603622852.

25822630656 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 2 + 630 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (25822630651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250705101 + ... + 250705203.

It is an arithmetic number, because the mean of its divisors is an integer number (148803200).

Almost surely, 2^25822630656 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 25822630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42855321600).

25822630656 is an abundant number, since it is smaller than the sum of its proper divisors (59888012544).

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

25822630656 is a wasteful number, since it uses less digits than its factorization.

25822630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 258226 and 30656, that added together give a palindrome (288882).

The spelling of 25822630656 in words is "twenty-five billion, eight hundred twenty-two million, six hundred thirty thousand, six hundred fifty-six".