11365366320 has 960 divisors, whose sum is σ = 52145233920. Its totient is φ = 2145484800.

The previous prime is 11365366297. The next prime is 11365366321. The reversal of 11365366320 is 2366356311.

11365366320 is a `hidden beast` number, since 1 + 13 + 6 + 5 + 3 + 6 + 632 + 0 = 666.

11365366320 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 (36).

It is not an unprimeable number, because it can be changed into a prime (11365366321) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 29216686 + ... + 29217074.

It is an arithmetic number, because the mean of its divisors is an integer number (54317952).

Almost surely, 2^11365366320 is an apocalyptic number.

11365366320 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 11365366320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26072616960).

11365366320 is an abundant number, since it is smaller than the sum of its proper divisors (40779867600).

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

11365366320 is a wasteful number, since it uses less digits than its factorization.

11365366320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 11365366320 in words is "eleven billion, three hundred sixty-five million, three hundred sixty-six thousand, three hundred twenty".