26961775855729 has 45 divisors (see below), whose sum is σ = 32124357620145. Its totient is φ = 22618412388000.

The previous prime is 26961775855711. The next prime is 26961775855739. The reversal of 26961775855729 is 92755857716962.

The square root of 26961775855729 is 5192473.

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 11294808600625 + 15666967255104 = 3360775^2 + 3958152^2 .

It is not a de Polignac number, because 26961775855729 - 2¹⁷ = 26961775724657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26961775855739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8167758379 + ... + 8167761679.

It is an arithmetic number, because the mean of its divisors is an integer number (713874613781).

Almost surely, 2^{26961775855729} is an apocalyptic number.

26961775855729 is the 5192473-rd square number.

26961775855729 is the 2596237-th centered octagonal number.

It is an amenable number.

26961775855729 is a deficient number, since it is larger than the sum of its proper divisors (5162581764416).

26961775855729 is an frugal number, since it uses more digits than its factorization.

26961775855729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 3325 counting only the distinct ones).

The product of its digits is 4000752000, while the sum is 79.

The spelling of 26961775855729 in words is "twenty-six trillion, nine hundred sixty-one billion, seven hundred seventy-five million, eight hundred fifty-five thousand, seven hundred twenty-nine".