11091780182016 has 224 divisors, whose sum is σ = 32907245051520. Its totient is φ = 3692229230592.

The previous prime is 11091780182011. The next prime is 11091780182017. The reversal of 11091780182016 is 61028108719011.

It is not an unprimeable number, because it can be changed into a prime (11091780182011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 164305966 + ... + 164373458.

It is an arithmetic number, because the mean of its divisors is an integer number (146907343980).

Almost surely, 2^{11091780182016} is an apocalyptic number.

11091780182016 is a gapful number since it is divisible by the number (16) 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 11091780182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16453622525760).

11091780182016 is an abundant number, since it is smaller than the sum of its proper divisors (21815464869504).

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

11091780182016 is an frugal number, since it uses more digits than its factorization.

11091780182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68271 (or 68241 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 45.

The spelling of 11091780182016 in words is "eleven trillion, ninety-one billion, seven hundred eighty million, one hundred eighty-two thousand, sixteen".