278238280320 has 2304 divisors, whose sum is σ = 1343932611840. Its totient is φ = 51580108800.

The previous prime is 278238280267. The next prime is 278238280421. The reversal of 278238280320 is 23082832872.

278238280320 is a `hidden beast` number, since 2 + 78 + 238 + 28 + 0 + 320 = 666.

278238280320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2600357707 + ... + 2600357813.

It is an arithmetic number, because the mean of its divisors is an integer number (583304085).

Almost surely, 2^278238280320 is an apocalyptic number.

278238280320 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 278238280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671966305920).

278238280320 is an abundant number, since it is smaller than the sum of its proper divisors (1065694331520).

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

278238280320 is a wasteful number, since it uses less digits than its factorization.

278238280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 278238280320 in words is "two hundred seventy-eight billion, two hundred thirty-eight million, two hundred eighty thousand, three hundred twenty".