11006011010511 has 48 divisors (see below), whose sum is σ = 18363453282720. Its totient is φ = 6277773404160.

The previous prime is 11006011010431. The next prime is 11006011010513. The reversal of 11006011010511 is 11501011060011.

It is a happy number.

11006011010511 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 601 + 1 + 0 + 10 + 51 + 1 = 666.

It is not a de Polignac number, because 11006011010511 - 2¹⁷ = 11006010879439 is a prime.

It is a super-2 number, since 2×11006011010511² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006011010513) 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 47 ways as a sum of consecutive naturals, for example, 95390325 + ... + 95505633.

It is an arithmetic number, because the mean of its divisors is an integer number (382571943390).

Almost surely, 2^{11006011010511} is an apocalyptic number.

11006011010511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11006011010511 is a deficient number, since it is larger than the sum of its proper divisors (7357442272209).

11006011010511 is a wasteful number, since it uses less digits than its factorization.

11006011010511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172056 (or 172053 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 11006011010511 its reverse (11501011060011), we get a palindrome (22507022070522).

It can be divided in two parts, 1100601 and 1010511, that added together give a palindrome (2111112).

The spelling of 11006011010511 in words is "eleven trillion, six billion, eleven million, ten thousand, five hundred eleven".