11388056832000 has 2304 divisors, whose sum is σ = 45806644316160. Its totient is φ = 2708471808000.

The previous prime is 11388056831999. The next prime is 11388056832001. The reversal of 11388056832000 is 23865088311.

11388056832000 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 80 + 568 + 3 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11388056831999) and next prime (11388056832001).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11388056832001) 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, 100779263944 + ... + 100779264056.

It is an arithmetic number, because the mean of its divisors is an integer number (19881356040).

Almost surely, 2^{11388056832000} is an apocalyptic number.

11388056832000 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 11388056832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22903322158080).

11388056832000 is an abundant number, since it is smaller than the sum of its proper divisors (34418587484160).

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

11388056832000 is a wasteful number, since it uses less digits than its factorization.

11388056832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11388056832000 in words is "eleven trillion, three hundred eighty-eight billion, fifty-six million, eight hundred thirty-two thousand".