11191134240 has 288 divisors, whose sum is σ = 44867100096. Its totient is φ = 2504263680.

The previous prime is 11191134217. The next prime is 11191134287. The reversal of 11191134240 is 4243119111.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178747 + ... + 233093.

It is an arithmetic number, because the mean of its divisors is an integer number (155788542).

Almost surely, 2^11191134240 is an apocalyptic number.

11191134240 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 11191134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433550048).

11191134240 is an abundant number, since it is smaller than the sum of its proper divisors (33675965856).

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

11191134240 is a wasteful number, since it uses less digits than its factorization.

11191134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54392 (or 54381 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11191134240 in words is "eleven billion, one hundred ninety-one million, one hundred thirty-four thousand, two hundred forty".