26537674069729 has 27 divisors (see below), whose sum is σ = 28253101713291. Its totient is φ = 24924886963200.

The previous prime is 26537674069723. The next prime is 26537674069747. The reversal of 26537674069729 is 92796047673562.

The square root of 26537674069729 is 5151473.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1354861080225 + 25182812989504 = 1163985^2 + 5018248^2 .

It is not a de Polignac number, because 26537674069729 - 2²⁵ = 26537640515297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26537674069723) 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 26 ways as a sum of consecutive naturals, for example, 5527528129 + ... + 5527532929.

Almost surely, 2^{26537674069729} is an apocalyptic number.

26537674069729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

26537674069729 is the 5151473-rd square number.

26537674069729 is the 2575737-th centered octagonal number.

It is an amenable number.

26537674069729 is a deficient number, since it is larger than the sum of its proper divisors (1715427643562).

26537674069729 is an frugal number, since it uses more digits than its factorization.

26537674069729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 1440270720, while the sum is 73.

The spelling of 26537674069729 in words is "twenty-six trillion, five hundred thirty-seven billion, six hundred seventy-four million, sixty-nine thousand, seven hundred twenty-nine".