11022318720 has 480 divisors, whose sum is σ = 44458088220. Its totient is φ = 2516226048.

The previous prime is 11022318707. The next prime is 11022318733. The reversal of 11022318720 is 2781322011.

It is an interprime number because it is at equal distance from previous prime (11022318707) and next prime (11022318733).

It can be written as a sum of positive squares in 2 ways, for example, as 10954552896 + 67765824 = 104664^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13829362 + ... + 13830158.

Almost surely, 2^11022318720 is an apocalyptic number.

11022318720 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 11022318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229044110).

11022318720 is an abundant number, since it is smaller than the sum of its proper divisors (33435769500).

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

11022318720 is an frugal number, since it uses more digits than its factorization.

11022318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11022318720 in words is "eleven billion, twenty-two million, three hundred eighteen thousand, seven hundred twenty".