11206436016 has 80 divisors (see below), whose sum is σ = 29966716928. Its totient is φ = 3604953600.

The previous prime is 11206436009. The next prime is 11206436053. The reversal of 11206436016 is 61063460211.

11206436016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 535836 + ... + 556356.

Almost surely, 2^11206436016 is an apocalyptic number.

11206436016 is a gapful number since it is divisible by the number (16) 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 11206436016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983358464).

11206436016 is an abundant number, since it is smaller than the sum of its proper divisors (18760280912).

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

11206436016 is a wasteful number, since it uses less digits than its factorization.

11206436016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20930 (or 20924 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 11206436016 its reverse (61063460211), we get a palindrome (72269896227).

The spelling of 11206436016 in words is "eleven billion, two hundred six million, four hundred thirty-six thousand, sixteen".