66055126409 has 2 divisors, whose sum is σ = 66055126410. Its totient is φ = 66055126408.

The previous prime is 66055126369. The next prime is 66055126411. The reversal of 66055126409 is 90462155066.

66055126409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63972573184 + 2082553225 = 252928^2 + 45635^2 .

It is a cyclic number.

It is not a de Polignac number, because 66055126409 - 2¹² = 66055122313 is a prime.

Together with 66055126411, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66055126409.

It is not a weakly prime, because it can be changed into another prime (66055126909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33027563204 + 33027563205.

It is an arithmetic number, because the mean of its divisors is an integer number (33027563205).

Almost surely, 2^66055126409 is an apocalyptic number.

It is an amenable number.

66055126409 is a deficient number, since it is larger than the sum of its proper divisors (1).

66055126409 is an equidigital number, since it uses as much as digits as its factorization.

66055126409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 66055126409 in words is "sixty-six billion, fifty-five million, one hundred twenty-six thousand, four hundred nine".