11276400800 has 144 divisors (see below), whose sum is σ = 31542481152. Its totient is φ = 3856204800.

The previous prime is 11276400791. The next prime is 11276400827. The reversal of 11276400800 is 800467211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2355209 + ... + 2359991.

It is an arithmetic number, because the mean of its divisors is an integer number (219045008).

Almost surely, 2^11276400800 is an apocalyptic number.

11276400800 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 11276400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15771240576).

11276400800 is an abundant number, since it is smaller than the sum of its proper divisors (20266080352).

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

11276400800 is a wasteful number, since it uses less digits than its factorization.

11276400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 11276400800 in words is "eleven billion, two hundred seventy-six million, four hundred thousand, eight hundred".