11091560199840 has 384 divisors, whose sum is σ = 39847489920000. Its totient is φ = 2880436958208.

The previous prime is 11091560199827. The next prime is 11091560199851. The reversal of 11091560199840 is 4899106519011.

11091560199840 is a `hidden beast` number, since 1 + 10 + 9 + 15 + 601 + 9 + 9 + 8 + 4 + 0 = 666.

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

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, 27068811 + ... + 27475509.

It is an arithmetic number, because the mean of its divisors is an integer number (103769505000).

Almost surely, 2^{11091560199840} is an apocalyptic number.

11091560199840 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 11091560199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923744960000).

11091560199840 is an abundant number, since it is smaller than the sum of its proper divisors (28755929720160).

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

11091560199840 is a wasteful number, since it uses less digits than its factorization.

11091560199840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406889 (or 406875 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 54.

The spelling of 11091560199840 in words is "eleven trillion, ninety-one billion, five hundred sixty million, one hundred ninety-nine thousand, eight hundred forty".