11789660160 has 624 divisors, whose sum is σ = 44651303424. Its totient is φ = 2978021376.

The previous prime is 11789660153. The next prime is 11789660219. The reversal of 11789660160 is 6106698711.

11789660160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 114462669 + ... + 114462771.

It is an arithmetic number, because the mean of its divisors is an integer number (71556576).

Almost surely, 2^11789660160 is an apocalyptic number.

11789660160 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 11789660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325651712).

11789660160 is an abundant number, since it is smaller than the sum of its proper divisors (32861643264).

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

11789660160 is an equidigital number, since it uses as much as digits as its factorization.

11789660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11789660160 in words is "eleven billion, seven hundred eighty-nine million, six hundred sixty thousand, one hundred sixty".