26868537479169 has 189 divisors, whose sum is σ = 44826214132819. Its totient is φ = 16092861079680.

The previous prime is 26868537479143. The next prime is 26868537479207. The reversal of 26868537479169 is 96197473586862.

The square root of 26868537479169 is 5183487.

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

26868537479169 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 8 + 537 + 4 + 79 + 1 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20918411532225 + 5950125946944 = 4573665^2 + 2439288^2 .

It is not a de Polignac number, because 26868537479169 - 2⁷ = 26868537479041 is a prime.

It is a super-2 number, since 2×26868537479169² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

Its product of digits (6584094720) is a multiple of the sum of its prime factors (1080).

It is not an unprimeable number, because it can be changed into a prime (26868537479669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 54722072014 + ... + 54722072504.

Almost surely, 2^{26868537479169} is an apocalyptic number.

26868537479169 is the 5183487-th square number.

26868537479169 is the 2591744-th centered octagonal number.

It is an amenable number.

26868537479169 is a deficient number, since it is larger than the sum of its proper divisors (17957676653650).

26868537479169 is an frugal number, since it uses more digits than its factorization.

26868537479169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 534 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

26868537479169 divided by its sum of digits (81) gives a square (331710339249 = 575943²).

The spelling of 26868537479169 in words is "twenty-six trillion, eight hundred sixty-eight billion, five hundred thirty-seven million, four hundred seventy-nine thousand, one hundred sixty-nine".