5005611106111 has 16 divisors (see below), whose sum is σ = 6240841896960. Its totient is φ = 3900426187680.

The previous prime is 5005611106019. The next prime is 5005611106123. The reversal of 5005611106111 is 1116011165005.

It is not a de Polignac number, because 5005611106111 - 2¹¹ = 5005611104063 is a prime.

It is a super-2 number, since 2×5005611106111² (a number of 26 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 5005611106111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005611106211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6335065 + ... + 7081261.

It is an arithmetic number, because the mean of its divisors is an integer number (390052618560).

Almost surely, 2^{5005611106111} is an apocalyptic number.

5005611106111 is a deficient number, since it is larger than the sum of its proper divisors (1235230790849).

5005611106111 is a wasteful number, since it uses less digits than its factorization.

5005611106111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833334.

The product of its (nonzero) digits is 900, while the sum is 28.

It can be divided in two parts, 5005 and 611106111, that added together give a palindrome (611111116).

The spelling of 5005611106111 in words is "five trillion, five billion, six hundred eleven million, one hundred six thousand, one hundred eleven".