27968883121 has 9 divisors (see below), whose sum is σ = 28674719083. Its totient is φ = 27280025680.

The previous prime is 27968883119. The next prime is 27968883143. The reversal of 27968883121 is 12138886972.

The square root of 27968883121 is 167239.

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., 1347697521 + 26621185600 = 36711^2 + 163160^2 .

It is not a de Polignac number, because 27968883121 - 2¹ = 27968883119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27968881121) 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, 6854760 + ... + 6858838.

Almost surely, 2^27968883121 is an apocalyptic number.

27968883121 is the 167239-th square number.

27968883121 is the 83620-th centered octagonal number.

It is an amenable number.

27968883121 is a deficient number, since it is larger than the sum of its proper divisors (705835962).

27968883121 is an frugal number, since it uses more digits than its factorization.

27968883121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 4120 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The spelling of 27968883121 in words is "twenty-seven billion, nine hundred sixty-eight million, eight hundred eighty-three thousand, one hundred twenty-one".