11089271040 has 144 divisors (see below), whose sum is σ = 35463367296. Its totient is φ = 2953216000.

The previous prime is 11089271033. The next prime is 11089271087. The reversal of 11089271040 is 4017298011.

It is a junction number, because it is equal to n+sod(n) for n = 11089270992 and 11089271010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3957640 + ... + 3960440.

It is an arithmetic number, because the mean of its divisors is an integer number (246273384).

Almost surely, 2^11089271040 is an apocalyptic number.

11089271040 is a gapful number since it is divisible by the number (10) 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 11089271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731683648).

11089271040 is an abundant number, since it is smaller than the sum of its proper divisors (24374096256).

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

11089271040 is a wasteful number, since it uses less digits than its factorization.

11089271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 11089271040 in words is "eleven billion, eighty-nine million, two hundred seventy-one thousand, forty".