27339502380961 has 9 divisors (see below), whose sum is σ = 27367342245043. Its totient is φ = 27311690824600.

The previous prime is 27339502380947. The next prime is 27339502380973. The reversal of 27339502380961 is 16908320593372.

The square root of 27339502380961 is 5228719.

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., 42012290961 + 27297490090000 = 204969^2 + 5224700^2 .

It is not a de Polignac number, because 27339502380961 - 2¹⁷ = 27339502249889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27339502380896 and 27339502380905.

It is not an unprimeable number, because it can be changed into a prime (27339502380901) 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, 6802561410 + ... + 6802565428.

Almost surely, 2^{27339502380961} is an apocalyptic number.

27339502380961 is the 5228719-th square number.

27339502380961 is the 2614360-th centered octagonal number.

It is an amenable number.

27339502380961 is a deficient number, since it is larger than the sum of its proper divisors (27839864082).

27339502380961 is an frugal number, since it uses more digits than its factorization.

27339502380961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10640 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 27339502380961 in words is "twenty-seven trillion, three hundred thirty-nine billion, five hundred two million, three hundred eighty thousand, nine hundred sixty-one".