11264131200 has 192 divisors, whose sum is σ = 42401661120. Its totient is φ = 2574643200.

The previous prime is 11264131183. The next prime is 11264131213. The reversal of 11264131200 is 213146211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16611 + ... + 151010.

It is an arithmetic number, because the mean of its divisors is an integer number (220841985).

Almost surely, 2^11264131200 is an apocalyptic number.

11264131200 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 11264131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200830560).

11264131200 is an abundant number, since it is smaller than the sum of its proper divisors (31137529920).

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

11264131200 is a wasteful number, since it uses less digits than its factorization.

11264131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167655 (or 167638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11264131200 its reverse (213146211), we get a palindrome (11477277411).

The spelling of 11264131200 in words is "eleven billion, two hundred sixty-four million, one hundred thirty-one thousand, two hundred".