11133918720 has 320 divisors, whose sum is σ = 40068864000. Its totient is φ = 2930024448.

The previous prime is 11133918707. The next prime is 11133918721. The reversal of 11133918720 is 2781933111.

It is a tau number, because it is divible by the number of its divisors (320).

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 (11133918721) 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 31 ways as a sum of consecutive naturals, for example, 5459461 + ... + 5461499.

It is an arithmetic number, because the mean of its divisors is an integer number (125215200).

Almost surely, 2^11133918720 is an apocalyptic number.

11133918720 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 11133918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432000).

11133918720 is an abundant number, since it is smaller than the sum of its proper divisors (28934945280).

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

11133918720 is an equidigital number, since it uses as much as digits as its factorization.

11133918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11133918720 in words is "eleven billion, one hundred thirty-three million, nine hundred eighteen thousand, seven hundred twenty".