11355344000 has 512 divisors, whose sum is σ = 37959667200. Its totient is φ = 3262464000.

The previous prime is 11355343999. The next prime is 11355344009. The reversal of 11355344000 is 44355311.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (11355344009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16015646 + ... + 16016354.

It is an arithmetic number, because the mean of its divisors is an integer number (74139975).

Almost surely, 2^11355344000 is an apocalyptic number.

11355344000 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 11355344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18979833600).

11355344000 is an abundant number, since it is smaller than the sum of its proper divisors (26604323200).

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

11355344000 is a wasteful number, since it uses less digits than its factorization.

11355344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 11355344000 its reverse (44355311), we get a palindrome (11399699311).

The spelling of 11355344000 in words is "eleven billion, three hundred fifty-five million, three hundred forty-four thousand".