11110001065800 has 1536 divisors, whose sum is σ = 47555356262400. Its totient is φ = 2078757457920.

The previous prime is 11110001065789. The next prime is 11110001065829. The reversal of 11110001065800 is 856010001111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1121424447 + ... + 1121434353.

It is an arithmetic number, because the mean of its divisors is an integer number (30960518400).

Almost surely, 2^{11110001065800} is an apocalyptic number.

11110001065800 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 11110001065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777678131200).

11110001065800 is an abundant number, since it is smaller than the sum of its proper divisors (36445355196600).

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

11110001065800 is a wasteful number, since it uses less digits than its factorization.

11110001065800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10026 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 24.

Adding to 11110001065800 its reverse (856010001111), we get a palindrome (11966011066911).

The spelling of 11110001065800 in words is "eleven trillion, one hundred ten billion, one million, sixty-five thousand, eight hundred".