278827260480 has 672 divisors, whose sum is σ = 1013968650240. Its totient is φ = 70230343680.

The previous prime is 278827260473. The next prime is 278827260493. The reversal of 278827260480 is 84062728872.

278827260480 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 27 + 2 + 604 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1028882745 + ... + 1028883015.

It is an arithmetic number, because the mean of its divisors is an integer number (1508881920).

Almost surely, 2^278827260480 is an apocalyptic number.

278827260480 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 278827260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506984325120).

278827260480 is an abundant number, since it is smaller than the sum of its proper divisors (735141389760).

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

278827260480 is a wasteful number, since it uses less digits than its factorization.

278827260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 278827260480 in words is "two hundred seventy-eight billion, eight hundred twenty-seven million, two hundred sixty thousand, four hundred eighty".