66126059029 has 2 divisors, whose sum is σ = 66126059030. Its totient is φ = 66126059028.

The previous prime is 66126058981. The next prime is 66126059039. The reversal of 66126059029 is 92095062166.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66114294129 + 11764900 = 257127^2 + 3430^2 .

It is a cyclic number.

It is not a de Polignac number, because 66126059029 - 2¹⁵ = 66126026261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66126059029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66126059039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33063029514 + 33063029515.

It is an arithmetic number, because the mean of its divisors is an integer number (33063029515).

Almost surely, 2^66126059029 is an apocalyptic number.

It is an amenable number.

66126059029 is a deficient number, since it is larger than the sum of its proper divisors (1).

66126059029 is an equidigital number, since it uses as much as digits as its factorization.

66126059029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 66126059029 in words is "sixty-six billion, one hundred twenty-six million, fifty-nine thousand, twenty-nine".