20776123685777 has 2 divisors, whose sum is σ = 20776123685778. Its totient is φ = 20776123685776.

The previous prime is 20776123685749. The next prime is 20776123685783. The reversal of 20776123685777 is 77758632167702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15841665665281 + 4934458020496 = 3980159^2 + 2221364^2 .

It is a cyclic number.

It is not a de Polignac number, because 20776123685777 - 2⁸ = 20776123685521 is a prime.

It is not a weakly prime, because it can be changed into another prime (20776123685797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10388061842888 + 10388061842889.

It is an arithmetic number, because the mean of its divisors is an integer number (10388061842889).

Almost surely, 2^{20776123685777} is an apocalyptic number.

It is an amenable number.

20776123685777 is a deficient number, since it is larger than the sum of its proper divisors (1).

20776123685777 is an equidigital number, since it uses as much as digits as its factorization.

20776123685777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290424960, while the sum is 68.

The spelling of 20776123685777 in words is "twenty trillion, seven hundred seventy-six billion, one hundred twenty-three million, six hundred eighty-five thousand, seven hundred seventy-seven".