11591586640116 has 192 divisors, whose sum is σ = 34498242240000. Its totient is φ = 3297155880960.

The previous prime is 11591586640093. The next prime is 11591586640187. The reversal of 11591586640116 is 61104668519511.

11591586640116 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 1 + 586 + 6 + 40 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792363090 + ... + 792377718.

It is an arithmetic number, because the mean of its divisors is an integer number (179678345000).

Almost surely, 2^{11591586640116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11591586640116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249121120000).

11591586640116 is an abundant number, since it is smaller than the sum of its proper divisors (22906655599884).

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

11591586640116 is a wasteful number, since it uses less digits than its factorization.

11591586640116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19239 (or 19231 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 11591586640116 in words is "eleven trillion, five hundred ninety-one billion, five hundred eighty-six million, six hundred forty thousand, one hundred sixteen".