11005506011110 has 32 divisors (see below), whose sum is σ = 21364624022112. Its totient is φ = 4057690705920.

The previous prime is 11005506011081. The next prime is 11005506011147. The reversal of 11005506011110 is 1111060550011.

It is a super-2 number, since 2×11005506011110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61167579 + ... + 61347238.

It is an arithmetic number, because the mean of its divisors is an integer number (667644500691).

Almost surely, 2^{11005506011110} is an apocalyptic number.

11005506011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11005506011110 is a deficient number, since it is larger than the sum of its proper divisors (10359118011002).

11005506011110 is a wasteful number, since it uses less digits than its factorization.

11005506011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122515528.

The product of its (nonzero) digits is 150, while the sum is 22.

Adding to 11005506011110 its reverse (1111060550011), we get a palindrome (12116566561121).

The spelling of 11005506011110 in words is "eleven trillion, five billion, five hundred six million, eleven thousand, one hundred ten".