11005769417711 has 2 divisors, whose sum is σ = 11005769417712. Its totient is φ = 11005769417710.

The previous prime is 11005769417693. The next prime is 11005769417761. The reversal of 11005769417711 is 11771496750011.

It is a happy number.

It is an a-pointer prime, because the next prime (11005769417761) can be obtained adding 11005769417711 to its sum of digits (50).

It is a weak prime.

It is an emirp because it is prime and its reverse (11771496750011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11005769417711 - 2⁶ = 11005769417647 is a prime.

It is a super-2 number, since 2×11005769417711² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11005769417711.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11005769417761) 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, 5502884708855 + 5502884708856.

It is an arithmetic number, because the mean of its divisors is an integer number (5502884708856).

Almost surely, 2^{11005769417711} is an apocalyptic number.

11005769417711 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005769417711 is an equidigital number, since it uses as much as digits as its factorization.

11005769417711 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 370440, while the sum is 50.

The spelling of 11005769417711 in words is "eleven trillion, five billion, seven hundred sixty-nine million, four hundred seventeen thousand, seven hundred eleven".