11590363008 has 256 divisors, whose sum is σ = 39636057600. Its totient is φ = 3265671168.

The previous prime is 11590363007. The next prime is 11590363019. The reversal of 11590363008 is 80036309511.

It is a happy number.

11590363008 is a `hidden beast` number, since 1 + 1 + 590 + 3 + 63 + 0 + 0 + 8 = 666.

11590363008 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11590363007) 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 31 ways as a sum of consecutive naturals, for example, 1762735 + ... + 1769297.

It is an arithmetic number, because the mean of its divisors is an integer number (154828350).

Almost surely, 2^11590363008 is an apocalyptic number.

11590363008 is a gapful number since it is divisible by the number (18) 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 11590363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19818028800).

11590363008 is an abundant number, since it is smaller than the sum of its proper divisors (28045694592).

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

11590363008 is an equidigital number, since it uses as much as digits as its factorization.

11590363008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11590363008 in words is "eleven billion, five hundred ninety million, three hundred sixty-three thousand, eight".