11059076688000 has 2048 divisors, whose sum is σ = 42937653657600. Its totient is φ = 2513516544000.

The previous prime is 11059076687993. The next prime is 11059076688001. The reversal of 11059076688000 is 88667095011.

It is not an unprimeable number, because it can be changed into a prime (11059076688001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87079343937 + ... + 87079344063.

It is an arithmetic number, because the mean of its divisors is an integer number (20965651200).

Almost surely, 2^{11059076688000} is an apocalyptic number.

11059076688000 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 11059076688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468826828800).

11059076688000 is an abundant number, since it is smaller than the sum of its proper divisors (31878576969600).

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

11059076688000 is a wasteful number, since it uses less digits than its factorization.

11059076688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 11059076688000 in words is "eleven trillion, fifty-nine billion, seventy-six million, six hundred eighty-eight thousand".