11323065600 has 1728 divisors, whose sum is σ = 55476449280. Its totient is φ = 2189721600.

The previous prime is 11323065541. The next prime is 11323065643. The reversal of 11323065600 is 656032311.

11323065600 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 3 + 0 + 656 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306028782 + ... + 306028818.

Almost surely, 2^11323065600 is an apocalyptic number.

11323065600 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 11323065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738224640).

11323065600 is an abundant number, since it is smaller than the sum of its proper divisors (44153383680).

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

11323065600 is a wasteful number, since it uses less digits than its factorization.

11323065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 11323065600 its reverse (656032311), we get a palindrome (11979097911).

The spelling of 11323065600 in words is "eleven billion, three hundred twenty-three million, sixty-five thousand, six hundred".