279985960800 has 3456 divisors, whose sum is σ = 1433158272000. Its totient is φ = 52672757760.

The previous prime is 279985960769. The next prime is 279985960801. The reversal of 279985960800 is 8069589972.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 13650 × 13566 × 1512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (279985960801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14736103191 + ... + 14736103209.

It is an arithmetic number, because the mean of its divisors is an integer number (414687000).

Almost surely, 2^279985960800 is an apocalyptic number.

279985960800 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 279985960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136000).

279985960800 is an abundant number, since it is smaller than the sum of its proper divisors (1153172311200).

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

279985960800 is a wasteful number, since it uses less digits than its factorization.

279985960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 279985960800 in words is "two hundred seventy-nine billion, nine hundred eighty-five million, nine hundred sixty thousand, eight hundred".