26865296640 has 864 divisors, whose sum is σ = 116959315200. Its totient is φ = 5657444352.

The previous prime is 26865296621. The next prime is 26865296651. The reversal of 26865296640 is 4669256862.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 51367419 + ... + 51367941.

Almost surely, 2^26865296640 is an apocalyptic number.

26865296640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26865296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58479657600).

26865296640 is an abundant number, since it is smaller than the sum of its proper divisors (90094018560).

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

26865296640 is a wasteful number, since it uses less digits than its factorization.

26865296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 26865296640 in words is "twenty-six billion, eight hundred sixty-five million, two hundred ninety-six thousand, six hundred forty".