278884441848320 has 960 divisors, whose sum is σ = 853309000228608. Its totient is φ = 85550963097600.

The previous prime is 278884441848317. The next prime is 278884441848329. The reversal of 278884441848320 is 23848144488872.

It is not an unprimeable number, because it can be changed into a prime (278884441848329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86583184310 + ... + 86583187530.

Almost surely, 2^{278884441848320} is an apocalyptic number.

278884441848320 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 278884441848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426654500114304).

278884441848320 is an abundant number, since it is smaller than the sum of its proper divisors (574424558380288).

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

278884441848320 is a wasteful number, since it uses less digits than its factorization.

278884441848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 704643072, while the sum is 71.

The spelling of 278884441848320 in words is "two hundred seventy-eight trillion, eight hundred eighty-four billion, four hundred forty-one million, eight hundred forty-eight thousand, three hundred twenty".