2166832727009 has 2 divisors, whose sum is σ = 2166832727010. Its totient is φ = 2166832727008.

The previous prime is 2166832726997. The next prime is 2166832727023. The reversal of 2166832727009 is 9007272386612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1492619305984 + 674213421025 = 1221728^2 + 821105^2 .

It is a cyclic number.

It is not a de Polignac number, because 2166832727009 - 2²⁰ = 2166831678433 is a prime.

It is not a weakly prime, because it can be changed into another prime (2166832727099) 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, 1083416363504 + 1083416363505.

It is an arithmetic number, because the mean of its divisors is an integer number (1083416363505).

Almost surely, 2^{2166832727009} is an apocalyptic number.

It is an amenable number.

2166832727009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2166832727009 is an equidigital number, since it uses as much as digits as its factorization.

2166832727009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 2166832727009 in words is "two trillion, one hundred sixty-six billion, eight hundred thirty-two million, seven hundred twenty-seven thousand, nine".