11005140835911 has 16 divisors (see below), whose sum is σ = 14939478062208. Its totient is φ = 7204191880800.

The previous prime is 11005140835831. The next prime is 11005140835937. The reversal of 11005140835911 is 11953804150011.

It is not a de Polignac number, because 11005140835911 - 2¹⁰ = 11005140834887 is a prime.

It is a super-2 number, since 2×11005140835911² (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 11005140835911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005140839911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51116925 + ... + 51331766.

It is an arithmetic number, because the mean of its divisors is an integer number (933717378888).

Almost surely, 2^{11005140835911} is an apocalyptic number.

11005140835911 is a deficient number, since it is larger than the sum of its proper divisors (3934337226297).

11005140835911 is a wasteful number, since it uses less digits than its factorization.

11005140835911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102449342.

The product of its (nonzero) digits is 21600, while the sum is 39.

Adding to 11005140835911 its reverse (11953804150011), we get a palindrome (22958944985922).

The spelling of 11005140835911 in words is "eleven trillion, five billion, one hundred forty million, eight hundred thirty-five thousand, nine hundred eleven".