26266360761 has 27 divisors (see below), whose sum is σ = 38434703151. Its totient is φ = 17285631264.

The previous prime is 26266360751. The next prime is 26266360763. The reversal of 26266360761 is 16706366262.

The square root of 26266360761 is 162069.

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

26266360761 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 636 + 0 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5043698361 + 21222662400 = 71019^2 + 145680^2 .

It is not a de Polignac number, because 26266360761 - 2¹⁹ = 26265836473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26266360763) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43272120 + ... + 43272726.

Almost surely, 2^26266360761 is an apocalyptic number.

26266360761 is the 162069-th square number.

26266360761 is the 81035-th centered octagonal number.

It is an amenable number.

26266360761 is a deficient number, since it is larger than the sum of its proper divisors (12168342390).

26266360761 is an frugal number, since it uses more digits than its factorization.

26266360761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 26266360761 in words is "twenty-six billion, two hundred sixty-six million, three hundred sixty thousand, seven hundred sixty-one".