11816208000 has 384 divisors, whose sum is σ = 43820375040. Its totient is φ = 3048192000.

The previous prime is 11816207993. The next prime is 11816208017. The reversal of 11816208000 is 80261811.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4462677 + ... + 4465323.

It is an arithmetic number, because the mean of its divisors is an integer number (114115560).

Almost surely, 2^11816208000 is an apocalyptic number.

11816208000 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 11816208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21910187520).

11816208000 is an abundant number, since it is smaller than the sum of its proper divisors (32004167040).

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

11816208000 is a wasteful number, since it uses less digits than its factorization.

11816208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 11816208000 its reverse (80261811), we get a palindrome (11896469811).

The spelling of 11816208000 in words is "eleven billion, eight hundred sixteen million, two hundred eight thousand".