11201089536 has 780 divisors, whose sum is σ = 42708955212. Its totient is φ = 2898395136.

The previous prime is 11201089517. The next prime is 11201089541. The reversal of 11201089536 is 63598010211.

11201089536 is a `hidden beast` number, since 1 + 12 + 0 + 108 + 9 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4698279936 + 6502809600 = 68544^2 + 80640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11201089536.

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 59 ways as a sum of consecutive naturals, for example, 211341286 + ... + 211341338.

Almost surely, 2^11201089536 is an apocalyptic number.

11201089536 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 11201089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354477606).

11201089536 is an abundant number, since it is smaller than the sum of its proper divisors (31507865676).

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

11201089536 is an equidigital number, since it uses as much as digits as its factorization.

11201089536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 11201089536 its reverse (63598010211), we get a palindrome (74799099747).

The spelling of 11201089536 in words is "eleven billion, two hundred one million, eighty-nine thousand, five hundred thirty-six".