11040768000 has 360 divisors, whose sum is σ = 39870885600. Its totient is φ = 2939289600.

The previous prime is 11040767989. The next prime is 11040768023. The reversal of 11040768000 is 86704011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431701 + ... + 18432299.

It is an arithmetic number, because the mean of its divisors is an integer number (110752460).

Almost surely, 2^11040768000 is an apocalyptic number.

11040768000 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 11040768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19935442800).

11040768000 is an abundant number, since it is smaller than the sum of its proper divisors (28830117600).

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

11040768000 is an frugal number, since it uses more digits than its factorization.

11040768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11040768000 in words is "eleven billion, forty million, seven hundred sixty-eight thousand".