27116254484929 has 9 divisors (see below), whose sum is σ = 28083697014243. Its totient is φ = 26181065421672.

The previous prime is 27116254484911. The next prime is 27116254484947. The reversal of 27116254484929 is 92948445261172.

The square root of 27116254484929 is 5207327.

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

It is an interprime number because it is at equal distance from previous prime (27116254484911) and next prime (27116254484947).

It can be written as a sum of positive squares in only one way, i.e., 14219106097329 + 12897148387600 = 3770823^2 + 3591260^2 .

It is a de Polignac number, because none of the positive numbers 2^k-27116254484929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27116254484959) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150922702 + ... + 151102264.

Almost surely, 2^{27116254484929} is an apocalyptic number.

27116254484929 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

27116254484929 is the 5207327-th square number.

27116254484929 is the 2603664-th centered octagonal number.

It is an amenable number.

27116254484929 is a deficient number, since it is larger than the sum of its proper divisors (967442529314).

27116254484929 is an frugal number, since it uses more digits than its factorization.

27116254484929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359184 (or 179592 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 64.

The spelling of 27116254484929 in words is "twenty-seven trillion, one hundred sixteen billion, two hundred fifty-four million, four hundred eighty-four thousand, nine hundred twenty-nine".