11091171840 has 320 divisors, whose sum is σ = 40936237056. Its totient is φ = 2509258752.

The previous prime is 11091171809. The next prime is 11091171851. The reversal of 11091171840 is 4817119011.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5536279 + ... + 5538281.

Almost surely, 2^11091171840 is an apocalyptic number.

11091171840 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 11091171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468118528).

11091171840 is an abundant number, since it is smaller than the sum of its proper divisors (29845065216).

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

11091171840 is a wasteful number, since it uses less digits than its factorization.

11091171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 33.

The spelling of 11091171840 in words is "eleven billion, ninety-one million, one hundred seventy-one thousand, eight hundred forty".