11162216000 has 224 divisors, whose sum is σ = 30804490080. Its totient is φ = 3978240000.

The previous prime is 11162215993. The next prime is 11162216027. The reversal of 11162216000 is 61226111.

It can be written as a sum of positive squares in 16 ways, for example, as 9916973056 + 1245242944 = 99584^2 + 35288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3014150 + ... + 3017850.

It is an arithmetic number, because the mean of its divisors is an integer number (137520045).

Almost surely, 2^11162216000 is an apocalyptic number.

11162216000 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 11162216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402245040).

11162216000 is an abundant number, since it is smaller than the sum of its proper divisors (19642274080).

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

11162216000 is a wasteful number, since it uses less digits than its factorization.

11162216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 11162216000 in words is "eleven billion, one hundred sixty-two million, two hundred sixteen thousand".