11068041600 has 1728 divisors, whose sum is σ = 53983687680. Its totient is φ = 2128896000.

The previous prime is 11068041563. The next prime is 11068041629. The reversal of 11068041600 is 614086011.

11068041600 is a `hidden beast` number, since 1 + 10 + 6 + 8 + 0 + 41 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 357033585 + ... + 357033615.

It is an arithmetic number, because the mean of its divisors is an integer number (31240560).

Almost surely, 2^11068041600 is an apocalyptic number.

11068041600 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 11068041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26991843840).

11068041600 is an abundant number, since it is smaller than the sum of its proper divisors (42915646080).

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

11068041600 is a wasteful number, since it uses less digits than its factorization.

11068041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11068041600 in words is "eleven billion, sixty-eight million, forty-one thousand, six hundred".