10128627960989 has 2 divisors, whose sum is σ = 10128627960990. Its totient is φ = 10128627960988.

The previous prime is 10128627960959. The next prime is 10128627960991. The reversal of 10128627960989 is 98906972682101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6566662502500 + 3561965458489 = 2562550^2 + 1887317^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10128627960989 is a prime.

Together with 10128627960991, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10128627960959) 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, 5064313980494 + 5064313980495.

It is an arithmetic number, because the mean of its divisors is an integer number (5064313980495).

Almost surely, 2^{10128627960989} is an apocalyptic number.

It is an amenable number.

10128627960989 is a deficient number, since it is larger than the sum of its proper divisors (1).

10128627960989 is an equidigital number, since it uses as much as digits as its factorization.

10128627960989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47029248, while the sum is 68.

The spelling of 10128627960989 in words is "ten trillion, one hundred twenty-eight billion, six hundred twenty-seven million, nine hundred sixty thousand, nine hundred eighty-nine".