11705704800 has 288 divisors, whose sum is σ = 39791765664. Its totient is φ = 2985984000.

The previous prime is 11705704789. The next prime is 11705704819. The reversal of 11705704800 is 840750711.

11705704800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5415720 + ... + 5417880.

It is an arithmetic number, because the mean of its divisors is an integer number (138165853).

Almost surely, 2^11705704800 is an apocalyptic number.

11705704800 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 11705704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895882832).

11705704800 is an abundant number, since it is smaller than the sum of its proper divisors (28086060864).

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

11705704800 is a wasteful number, since it uses less digits than its factorization.

11705704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 11705704800 in words is "eleven billion, seven hundred five million, seven hundred four thousand, eight hundred".