26808753332089 has 7 divisors (see below), whose sum is σ = 26964618177043. Its totient is φ = 26653789439996.

The previous prime is 26808753332087. The next prime is 26808753332099. The reversal of 26808753332089 is 98023335780862.

The square root of 26808753332089 is 5177717.

The cubic root of 26808753332089 is 29929.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 9945476786025 + 16863276546064 = 3153645^2 + 4106492^2 .

It is not a de Polignac number, because 26808753332089 - 2¹ = 26808753332087 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26808753332089.

It is not an unprimeable number, because it can be changed into a prime (26808753332083) by changing a digit.

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 6 ways as a sum of consecutive naturals, for example, 154963892007 + ... + 154963892179.

Almost surely, 2^{26808753332089} is an apocalyptic number.

26808753332089 is the 5177717-th square number.

26808753332089 is the 2588859-th centered octagonal number.

It is an amenable number.

26808753332089 is a deficient number, since it is larger than the sum of its proper divisors (155864844954).

26808753332089 is an frugal number, since it uses more digits than its factorization.

26808753332089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 26808753332089 in words is "twenty-six trillion, eight hundred eight billion, seven hundred fifty-three million, three hundred thirty-two thousand, eighty-nine".