11005769417011 has 8 divisors (see below), whose sum is σ = 11261844296384. Its totient is φ = 10749700299240.

The previous prime is 11005769416997. The next prime is 11005769417053. The reversal of 11005769417011 is 11071496750011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11005769417011 - 2¹¹ = 11005769414963 is a prime.

It is a super-2 number, since 2×11005769417011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11005769417711) 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 in 7 ways as a sum of consecutive naturals, for example, 2551660 + ... + 5340646.

It is an arithmetic number, because the mean of its divisors is an integer number (1407730537048).

Almost surely, 2^{11005769417011} is an apocalyptic number.

11005769417011 is a deficient number, since it is larger than the sum of its proper divisors (256074879373).

11005769417011 is an equidigital number, since it uses as much as digits as its factorization.

11005769417011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880801.

The product of its (nonzero) digits is 52920, while the sum is 43.

The spelling of 11005769417011 in words is "eleven trillion, five billion, seven hundred sixty-nine million, four hundred seventeen thousand, eleven".