11071909000 has 64 divisors (see below), whose sum is σ = 25935811200. Its totient is φ = 4424056000.

The previous prime is 11071908977. The next prime is 11071909003. The reversal of 11071909000 is 90917011.

It is a self number, because there is not a number n which added to its sum of digits gives 11071909000.

It is not an unprimeable number, because it can be changed into a prime (11071909003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025631 + ... + 1036369.

It is an arithmetic number, because the mean of its divisors is an integer number (405247050).

Almost surely, 2^11071909000 is an apocalyptic number.

11071909000 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 11071909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967905600).

11071909000 is an abundant number, since it is smaller than the sum of its proper divisors (14863902200).

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

11071909000 is a wasteful number, since it uses less digits than its factorization.

11071909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 28.

The spelling of 11071909000 in words is "eleven billion, seventy-one million, nine hundred nine thousand".