11730189600 has 324 divisors, whose sum is σ = 43664865426. Its totient is φ = 2962759680.

The previous prime is 11730189563. The next prime is 11730189629. The reversal of 11730189600 is 698103711.

11730189600 is a `hidden beast` number, since 1 + 1 + 7 + 30 + 18 + 9 + 600 = 666.

11730189600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4341755664 + 7388433936 = 65892^2 + 85956^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 2596944 + ... + 2601456.

Almost surely, 2^11730189600 is an apocalyptic number.

11730189600 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 11730189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21832432713).

11730189600 is an abundant number, since it is smaller than the sum of its proper divisors (31934675826).

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

11730189600 is a wasteful number, since it uses less digits than its factorization.

11730189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Adding to 11730189600 its sum of digits (36), we get a square (11730189636 = 108306²).

The spelling of 11730189600 in words is "eleven billion, seven hundred thirty million, one hundred eighty-nine thousand, six hundred".