11816404800 has 168 divisors, whose sum is σ = 38862158496. Its totient is φ = 3143362560.

The previous prime is 11816404799. The next prime is 11816404801. The reversal of 11816404800 is 840461811.

It is an interprime number because it is at equal distance from previous prime (11816404799) and next prime (11816404801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11816404801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2123622 + ... + 2129178.

It is an arithmetic number, because the mean of its divisors is an integer number (231322372).

Almost surely, 2^11816404800 is an apocalyptic number.

11816404800 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 11816404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19431079248).

11816404800 is an abundant number, since it is smaller than the sum of its proper divisors (27045753696).

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

11816404800 is a wasteful number, since it uses less digits than its factorization.

11816404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 11816404800 in words is "eleven billion, eight hundred sixteen million, four hundred four thousand, eight hundred".