26896000000 has 231 divisors, whose sum is σ = 68885465911. Its totient is φ = 10496000000.

The previous prime is 26895999997. The next prime is 26896000007. The reversal of 26896000000 is 69862.

The square root of 26896000000 is 164000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 8102880256 + 18793119744 = 90016^2 + 137088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26896000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 655999980 + ... + 656000020.

Almost surely, 2^26896000000 is an apocalyptic number.

26896000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26896000000 is the 164000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26896000000

26896000000 is an abundant number, since it is smaller than the sum of its proper divisors (41989465911).

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

26896000000 is an frugal number, since it uses more digits than its factorization.

26896000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 26896000000 by its product of nonzero digits (5184), we get a square (139428864000000 = 11808000²).

Adding to 26896000000 its reverse (69862), we get a palindrome (26896069862).

The spelling of 26896000000 in words is "twenty-six billion, eight hundred ninety-six million", and thus it is an aban number.