278961616320 has 448 divisors, whose sum is σ = 930072084480. Its totient is φ = 70750568448.

The previous prime is 278961616303. The next prime is 278961616357. The reversal of 278961616320 is 23616169872.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 908669607 + ... + 908669913.

It is an arithmetic number, because the mean of its divisors is an integer number (2076053760).

Almost surely, 2^278961616320 is an apocalyptic number.

278961616320 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 278961616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465036042240).

278961616320 is an abundant number, since it is smaller than the sum of its proper divisors (651110468160).

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

278961616320 is a wasteful number, since it uses less digits than its factorization.

278961616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 278961616320 in words is "two hundred seventy-eight billion, nine hundred sixty-one million, six hundred sixteen thousand, three hundred twenty".