11007919104 has 352 divisors, whose sum is σ = 36480487680. Its totient is φ = 2890727424.

The previous prime is 11007919081. The next prime is 11007919129. The reversal of 11007919104 is 40191970011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47244172 + ... + 47244404.

Almost surely, 2^11007919104 is an apocalyptic number.

11007919104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11007919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240243840).

11007919104 is an abundant number, since it is smaller than the sum of its proper divisors (25472568576).

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

11007919104 is an equidigital number, since it uses as much as digits as its factorization.

11007919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 33.

The spelling of 11007919104 in words is "eleven billion, seven million, nine hundred nineteen thousand, one hundred four".