11066561011011 has 64 divisors (see below), whose sum is σ = 16522627055616. Its totient is φ = 6530592297600.

The previous prime is 11066561010997. The next prime is 11066561011021. The reversal of 11066561011011 is 11011016566011.

It is not a de Polignac number, because 11066561011011 - 2²³ = 11066552622403 is a prime.

It is a super-3 number, since 3×11066561011011³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11066561011011.

It is not an unprimeable number, because it can be changed into a prime (11066561011021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622022526 + ... + 622040316.

It is an arithmetic number, because the mean of its divisors is an integer number (258166047744).

Almost surely, 2^{11066561011011} is an apocalyptic number.

11066561011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11066561011011 is a deficient number, since it is larger than the sum of its proper divisors (5456066044605).

11066561011011 is a wasteful number, since it uses less digits than its factorization.

11066561011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19192.

The product of its (nonzero) digits is 1080, while the sum is 30.

Adding to 11066561011011 its reverse (11011016566011), we get a palindrome (22077577577022).

The spelling of 11066561011011 in words is "eleven trillion, sixty-six billion, five hundred sixty-one million, eleven thousand, eleven".