11504211100 has 72 divisors (see below), whose sum is σ = 26462243808. Its totient is φ = 4326144000.

The previous prime is 11504211077. The next prime is 11504211113. The reversal of 11504211100 is 111240511.

11504211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1752825 + ... + 1759375.

It is an arithmetic number, because the mean of its divisors is an integer number (367531164).

Almost surely, 2^11504211100 is an apocalyptic number.

11504211100 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 11504211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231121904).

11504211100 is an abundant number, since it is smaller than the sum of its proper divisors (14958032708).

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

11504211100 is a wasteful number, since it uses less digits than its factorization.

11504211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 11504211100 its reverse (111240511), we get a palindrome (11615451611).

The spelling of 11504211100 in words is "eleven billion, five hundred four million, two hundred eleven thousand, one hundred".