27473961716721 has 27 divisors (see below), whose sum is σ = 42972413704779. Its totient is φ = 16906927566672.

The previous prime is 27473961716693. The next prime is 27473961716723. The reversal of 27473961716721 is 12761716937472.

The square root of 27473961716721 is 5241561.

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

27473961716721 is a `hidden beast` number, since 2 + 7 + 4 + 7 + 3 + 9 + 617 + 1 + 6 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4064195520225 + 23409766196496 = 2015985^2 + 4838364^2 .

It is not a de Polignac number, because 27473961716721 - 2¹⁵ = 27473961683953 is a prime.

It is a super-2 number, since 2×27473961716721² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27473961716723) 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, 204353680 + ... + 204488078.

Almost surely, 2^{27473961716721} is an apocalyptic number.

27473961716721 is the 5241561-st square number.

27473961716721 is the 2620781-st centered octagonal number.

It is an amenable number.

27473961716721 is a deficient number, since it is larger than the sum of its proper divisors (15498451988058).

27473961716721 is an frugal number, since it uses more digits than its factorization.

27473961716721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268830 (or 134415 counting only the distinct ones).

The product of its digits is 37340352, while the sum is 63.

The spelling of 27473961716721 in words is "twenty-seven trillion, four hundred seventy-three billion, nine hundred sixty-one million, seven hundred sixteen thousand, seven hundred twenty-one".