11705728548800 has 672 divisors, whose sum is σ = 34446439453440. Its totient is φ = 3859019366400.

The previous prime is 11705728548779. The next prime is 11705728548853. The reversal of 11705728548800 is 884582750711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6269805467 + ... + 6269807333.

It is an arithmetic number, because the mean of its divisors is an integer number (51259582520).

Almost surely, 2^{11705728548800} is an apocalyptic number.

11705728548800 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 11705728548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17223219726720).

11705728548800 is an abundant number, since it is smaller than the sum of its proper divisors (22740710904640).

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

11705728548800 is a wasteful number, since it uses less digits than its factorization.

11705728548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 56.

The spelling of 11705728548800 in words is "eleven trillion, seven hundred five billion, seven hundred twenty-eight million, five hundred forty-eight thousand, eight hundred".