11116800000 has 432 divisors, whose sum is σ = 40339566540. Its totient is φ = 2949120000.

The previous prime is 11116799977. The next prime is 11116800011. The reversal of 11116800000 is 861111.

It can be written as a sum of positive squares in 6 ways, for example, as 2463335424 + 8653464576 = 49632^2 + 93024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 57599904 + ... + 57600096.

Almost surely, 2^11116800000 is an apocalyptic number.

11116800000 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 11116800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20169783270).

11116800000 is an abundant number, since it is smaller than the sum of its proper divisors (29222766540).

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

11116800000 is an frugal number, since it uses more digits than its factorization.

11116800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The spelling of 11116800000 in words is "eleven billion, one hundred sixteen million, eight hundred thousand".