27660013969 has 27 divisors (see below), whose sum is σ = 33668305083. Its totient is φ = 22655822112.

The previous prime is 27660013949. The next prime is 27660014099. The reversal of 27660013969 is 96931006672.

The square root of 27660013969 is 166313.

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

It can be written as a sum of positive squares in only one way, i.e., 26704462225 + 955551744 = 163415^2 + 30912^2 .

It is not a de Polignac number, because 27660013969 - 2⁹ = 27660013457 is a prime.

It is a super-2 number, since 2×27660013969² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (27660013939) 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, 26775877 + ... + 26776909.

Almost surely, 2^27660013969 is an apocalyptic number.

27660013969 is the 166313-rd square number.

27660013969 is the 83157-th centered octagonal number.

It is an amenable number.

27660013969 is a deficient number, since it is larger than the sum of its proper divisors (6008291114).

27660013969 is an frugal number, since it uses more digits than its factorization.

27660013969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

Multiplying 27660013969 by its sum of digits (49), we get a square (1355340684481 = 1164191²).

27660013969 divided by its sum of digits (49) gives a square (564490081 = 23759²).

The spelling of 27660013969 in words is "twenty-seven billion, six hundred sixty million, thirteen thousand, nine hundred sixty-nine".