278482821120 has 1008 divisors, whose sum is σ = 1166586509088. Its totient is φ = 63541739520.

The previous prime is 278482821083. The next prime is 278482821131. The reversal of 278482821120 is 21128284872.

278482821120 is a `hidden beast` number, since 2 + 78 + 482 + 82 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487710435 + ... + 487711005.

It is an arithmetic number, because the mean of its divisors is an integer number (1157327886).

Almost surely, 2^278482821120 is an apocalyptic number.

278482821120 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 278482821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583293254544).

278482821120 is an abundant number, since it is smaller than the sum of its proper divisors (888103687968).

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

278482821120 is an frugal number, since it uses more digits than its factorization.

278482821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 278482821120 in words is "two hundred seventy-eight billion, four hundred eighty-two million, eight hundred twenty-one thousand, one hundred twenty".