11269368000 has 1344 divisors, whose sum is σ = 49846358016. Its totient is φ = 2488320000.

The previous prime is 11269367971. The next prime is 11269368007. The reversal of 11269368000 is 86396211.

11269368000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11269368007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 363527985 + ... + 363528015.

It is an arithmetic number, because the mean of its divisors is an integer number (37088064).

Almost surely, 2^11269368000 is an apocalyptic number.

11269368000 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 11269368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24923179008).

11269368000 is an abundant number, since it is smaller than the sum of its proper divisors (38576990016).

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

11269368000 is a wasteful number, since it uses less digits than its factorization.

11269368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11269368000 in words is "eleven billion, two hundred sixty-nine million, three hundred sixty-eight thousand".