26893154311321 has 9 divisors (see below), whose sum is σ = 27091603262941. Its totient is φ = 26696148637792.

The previous prime is 26893154311241. The next prime is 26893154311349. The reversal of 26893154311321 is 12311345139862.

The square root of 26893154311321 is 5185861.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9388469811721 + 17504684499600 = 3064061^2 + 4183860^2 .

It is a de Polignac number, because none of the positive numbers 2^k-26893154311321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26893154311351) 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 8 ways as a sum of consecutive naturals, for example, 710444031 + ... + 710481883.

Almost surely, 2^{26893154311321} is an apocalyptic number.

26893154311321 is the 5185861-st square number.

26893154311321 is the 2592931-st centered octagonal number.

It is an amenable number.

26893154311321 is a deficient number, since it is larger than the sum of its proper divisors (198448951620).

26893154311321 is an frugal number, since it uses more digits than its factorization.

26893154311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75980 (or 37990 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The spelling of 26893154311321 in words is "twenty-six trillion, eight hundred ninety-three billion, one hundred fifty-four million, three hundred eleven thousand, three hundred twenty-one".