11104839688800 has 2304 divisors, whose sum is σ = 45028258007040. Its totient is φ = 2341011456000.

The previous prime is 11104839688793. The next prime is 11104839688853. The reversal of 11104839688800 is 888693840111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 98272917544 + ... + 98272917656.

It is an arithmetic number, because the mean of its divisors is an integer number (19543514760).

Almost surely, 2^{11104839688800} is an apocalyptic number.

11104839688800 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 11104839688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22514129003520).

11104839688800 is an abundant number, since it is smaller than the sum of its proper divisors (33923418318240).

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

11104839688800 is a wasteful number, since it uses less digits than its factorization.

11104839688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 57.

The spelling of 11104839688800 in words is "eleven trillion, one hundred four billion, eight hundred thirty-nine million, six hundred eighty-eight thousand, eight hundred".