11728316160 has 288 divisors, whose sum is σ = 45404271360. Its totient is φ = 2843136000.

The previous prime is 11728316153. The next prime is 11728316189. The reversal of 11728316160 is 6161382711.

11728316160 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 8 + 31 + 616 + 0 = 666.

11728316160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 364735 + ... + 395585.

It is an arithmetic number, because the mean of its divisors is an integer number (157653720).

Almost surely, 2^11728316160 is an apocalyptic number.

11728316160 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 11728316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702135680).

11728316160 is an abundant number, since it is smaller than the sum of its proper divisors (33675955200).

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

11728316160 is a wasteful number, since it uses less digits than its factorization.

11728316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892 (or 30872 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 11728316160 its reverse (6161382711), we get a palindrome (17889698871).

The spelling of 11728316160 in words is "eleven billion, seven hundred twenty-eight million, three hundred sixteen thousand, one hundred sixty".