279955906560 has 672 divisors, whose sum is σ = 1098317368512. Its totient is φ = 67841556480.

The previous prime is 279955906553. The next prime is 279955906567. The reversal of 279955906560 is 65609559972.

279955906560 is a `hidden beast` number, since 2 + 79 + 9 + 559 + 0 + 6 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (279955906553) and next prime (279955906567).

It is not an unprimeable number, because it can be changed into a prime (279955906567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109484802 + ... + 109487358.

It is an arithmetic number, because the mean of its divisors is an integer number (1634400846).

Almost surely, 2^279955906560 is an apocalyptic number.

279955906560 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 279955906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549158684256).

279955906560 is an abundant number, since it is smaller than the sum of its proper divisors (818361461952).

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

279955906560 is an equidigital number, since it uses as much as digits as its factorization.

279955906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 63.

The spelling of 279955906560 in words is "two hundred seventy-nine billion, nine hundred fifty-five million, nine hundred six thousand, five hundred sixty".