11000055000011 has 32 divisors (see below), whose sum is σ = 13787619110400. Its totient is φ = 8525695150080.

The previous prime is 11000054999959. The next prime is 11000055000013.

11000055000011 is nontrivially palindromic in base 10.

11000055000011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11000055000011 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11000055000011.

It is not an unprimeable number, because it can be changed into a prime (11000055000013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98309045 + ... + 98420873.

It is an arithmetic number, because the mean of its divisors is an integer number (430863097200).

Almost surely, 2^{11000055000011} is an apocalyptic number.

11000055000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000055000011 is a deficient number, since it is larger than the sum of its proper divisors (2787564110389).

11000055000011 is a wasteful number, since it uses less digits than its factorization.

11000055000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118659.

The product of its (nonzero) digits is 25, while the sum is 14.

It can be divided in two parts, 1100005 and 5000011, that added together give a palindrome (6100016).

The spelling of 11000055000011 in words is "eleven trillion, fifty-five million, eleven", and thus it is an aban number and an uban number.