11206203888000 has 3072 divisors, whose sum is σ = 46820813045760. Its totient is φ = 2343813120000.

The previous prime is 11206203887993. The next prime is 11206203888001. The reversal of 11206203888000 is 88830260211.

It is a self number, because there is not a number n which added to its sum of digits gives 11206203888000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206203888001) 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 383 ways as a sum of consecutive naturals, for example, 108798095949 + ... + 108798096051.

It is an arithmetic number, because the mean of its divisors is an integer number (15241150080).

Almost surely, 2^{11206203888000} is an apocalyptic number.

11206203888000 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 11206203888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410406522880).

11206203888000 is an abundant number, since it is smaller than the sum of its proper divisors (35614609157760).

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

11206203888000 is a wasteful number, since it uses less digits than its factorization.

11206203888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 11206203888000 in words is "eleven trillion, two hundred six billion, two hundred three million, eight hundred eighty-eight thousand".