11369445120 has 432 divisors, whose sum is σ = 44515965312. Its totient is φ = 2755399680.

The previous prime is 11369445049. The next prime is 11369445121. The reversal of 11369445120 is 2154496311.

It is a happy number.

11369445120 is a `hidden beast` number, since 1 + 136 + 9 + 4 + 4 + 512 + 0 = 666.

11369445120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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 (11369445121) 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 47 ways as a sum of consecutive naturals, for example, 3419779 + ... + 3423101.

It is an arithmetic number, because the mean of its divisors is an integer number (103046216).

Almost surely, 2^11369445120 is an apocalyptic number.

11369445120 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 11369445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22257982656).

11369445120 is an abundant number, since it is smaller than the sum of its proper divisors (33146520192).

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

11369445120 is an equidigital number, since it uses as much as digits as its factorization.

11369445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11369445120 in words is "eleven billion, three hundred sixty-nine million, four hundred forty-five thousand, one hundred twenty".