11006581991328 has 1008 divisors, whose sum is σ = 41813101834560. Its totient is φ = 2818358323200.

The previous prime is 11006581991243. The next prime is 11006581991407. The reversal of 11006581991328 is 82319918560011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×11006581991328² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 892733068 + ... + 892745396.

It is an arithmetic number, because the mean of its divisors is an integer number (41481251820).

Almost surely, 2^{11006581991328} is an apocalyptic number.

11006581991328 is a gapful number since it is divisible by the number (18) 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 11006581991328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20906550917280).

11006581991328 is an abundant number, since it is smaller than the sum of its proper divisors (30806519843232).

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

11006581991328 is a wasteful number, since it uses less digits than its factorization.

11006581991328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 11006581991328 in words is "eleven trillion, six billion, five hundred eighty-one million, nine hundred ninety-one thousand, three hundred twenty-eight".