278993399872 has 112 divisors (see below), whose sum is σ = 607162477824. Its totient is φ = 126144000000.

The previous prime is 278993399851. The next prime is 278993399879.

278993399872 is nontrivially palindromic in base 10.

278993399872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (278993399879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154909372 + ... + 154911172.

It is an arithmetic number, because the mean of its divisors is an integer number (5421093552).

Almost surely, 2^278993399872 is an apocalyptic number.

278993399872 is a gapful number since it is divisible by the number (22) 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 278993399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303581238912).

278993399872 is an abundant number, since it is smaller than the sum of its proper divisors (328169077952).

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

278993399872 is a wasteful number, since it uses less digits than its factorization.

278993399872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2858 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 76.

The spelling of 278993399872 in words is "two hundred seventy-eight billion, nine hundred ninety-three million, three hundred ninety-nine thousand, eight hundred seventy-two".