27122466721 has 15 divisors (see below), whose sum is σ = 31650412083. Its totient is φ = 23240911680.

The previous prime is 27122466719. The next prime is 27122466743. The reversal of 27122466721 is 12766422172.

The square root of 27122466721 is 164689.

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., 20345884321 + 6776582400 = 142639^2 + 82320^2 .

It is not a de Polignac number, because 27122466721 - 2¹ = 27122466719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27122466751) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8068081 + ... + 8071441.

Almost surely, 2^27122466721 is an apocalyptic number.

27122466721 is the 164689-th square number.

27122466721 is the 82345-th centered octagonal number.

It is an amenable number.

27122466721 is a deficient number, since it is larger than the sum of its proper divisors (4527945362).

27122466721 is an frugal number, since it uses more digits than its factorization.

27122466721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 3368 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

Adding to 27122466721 its reverse (12766422172), we get a palindrome (39888888893).

The spelling of 27122466721 in words is "twenty-seven billion, one hundred twenty-two million, four hundred sixty-six thousand, seven hundred twenty-one".