11327324736000 has 2560 divisors, whose sum is σ = 47996880003072. Its totient is φ = 2307037593600.

The previous prime is 11327324735941. The next prime is 11327324736001. The reversal of 11327324736000 is 63742372311.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11327324736000.

It is not an unprimeable number, because it can be changed into a prime (11327324736001) 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 255 ways as a sum of consecutive naturals, for example, 105862847947 + ... + 105862848053.

Almost surely, 2^{11327324736000} is an apocalyptic number.

11327324736000 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 11327324736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998440001536).

11327324736000 is an abundant number, since it is smaller than the sum of its proper divisors (36669555267072).

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

11327324736000 is a wasteful number, since it uses less digits than its factorization.

11327324736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 11327324736000 in words is "eleven trillion, three hundred twenty-seven billion, three hundred twenty-four million, seven hundred thirty-six thousand".