279980800000 has 576 divisors, whose sum is σ = 790028497440. Its totient is φ = 98304000000.

The previous prime is 279980799997. The next prime is 279980800019. The reversal of 279980800000 is 8089972.

It is a self number, because there is not a number n which added to its sum of digits gives 279980800000.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2886399952 + ... + 2886400048.

Almost surely, 2^279980800000 is an apocalyptic number.

279980800000 is a gapful number since it is divisible by the number (20) 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 279980800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395014248720).

279980800000 is an abundant number, since it is smaller than the sum of its proper divisors (510047697440).

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

279980800000 is an frugal number, since it uses more digits than its factorization.

279980800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

Adding to 279980800000 its reverse (8089972), we get a palindrome (279988889972).

The spelling of 279980800000 in words is "two hundred seventy-nine billion, nine hundred eighty million, eight hundred thousand".