11061843168000 has 1152 divisors, whose sum is σ = 39497301043200. Its totient is φ = 2735824896000.

The previous prime is 11061843167959. The next prime is 11061843168001. The reversal of 11061843168000 is 86134816011.

It is a self number, because there is not a number n which added to its sum of digits gives 11061843168000.

It is not an unprimeable number, because it can be changed into a prime (11061843168001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29656415814 + ... + 29656416186.

It is an arithmetic number, because the mean of its divisors is an integer number (34285851600).

Almost surely, 2^{11061843168000} is an apocalyptic number.

11061843168000 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 11061843168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19748650521600).

11061843168000 is an abundant number, since it is smaller than the sum of its proper divisors (28435457875200).

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

11061843168000 is a wasteful number, since it uses less digits than its factorization.

11061843168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11061843168000 in words is "eleven trillion, sixty-one billion, eight hundred forty-three million, one hundred sixty-eight thousand".