27968876099081 has 2 divisors, whose sum is σ = 27968876099082. Its totient is φ = 27968876099080.

The previous prime is 27968876099041. The next prime is 27968876099111. The reversal of 27968876099081 is 18099067886972.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22006269095056 + 5962607004025 = 4691084^2 + 2441845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27968876099081 is a prime.

It is a super-2 number, since 2×27968876099081² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27968876098987 and 27968876099005.

It is not a weakly prime, because it can be changed into another prime (27968876099041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13984438049540 + 13984438049541.

It is an arithmetic number, because the mean of its divisors is an integer number (13984438049541).

Almost surely, 2^{27968876099081} is an apocalyptic number.

It is an amenable number.

27968876099081 is a deficient number, since it is larger than the sum of its proper divisors (1).

27968876099081 is an equidigital number, since it uses as much as digits as its factorization.

27968876099081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1316818944, while the sum is 80.

The spelling of 27968876099081 in words is "twenty-seven trillion, nine hundred sixty-eight billion, eight hundred seventy-six million, ninety-nine thousand, eighty-one".