11009119104 has 128 divisors (see below), whose sum is σ = 32693203200. Its totient is φ = 3647006208.

The previous prime is 11009119103. The next prime is 11009119111. The reversal of 11009119104 is 40191190011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009119103) 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, 553557 + ... + 573099.

It is an arithmetic number, because the mean of its divisors is an integer number (255415650).

Almost surely, 2^11009119104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11009119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346601600).

11009119104 is an abundant number, since it is smaller than the sum of its proper divisors (21684084096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11009119104 is a wasteful number, since it uses less digits than its factorization.

11009119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19729 (or 19711 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 11009119104 in words is "eleven billion, nine million, one hundred nineteen thousand, one hundred four".