11279104800 has 144 divisors (see below), whose sum is σ = 36749835360. Its totient is φ = 3004784640.

The previous prime is 11279104799. The next prime is 11279104817. The reversal of 11279104800 is 840197211.

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 23 ways as a sum of consecutive naturals, for example, 3557616 + ... + 3560784.

It is an arithmetic number, because the mean of its divisors is an integer number (255207190).

Almost surely, 2^11279104800 is an apocalyptic number.

11279104800 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 11279104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18374917680).

11279104800 is an abundant number, since it is smaller than the sum of its proper divisors (25470730560).

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

11279104800 is a wasteful number, since it uses less digits than its factorization.

11279104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 11279104800 in words is "eleven billion, two hundred seventy-nine million, one hundred four thousand, eight hundred".