279285420960 has 1152 divisors, whose sum is σ = 1225735580160. Its totient is φ = 58477510656.

The previous prime is 279285420949. The next prime is 279285420961. The reversal of 279285420960 is 69024582972.

279285420960 is a `hidden beast` number, since 2 + 7 + 9 + 2 + 8 + 542 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 279285420897 and 279285420906.

It is not an unprimeable number, because it can be changed into a prime (279285420961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 682849236 + ... + 682849644.

It is an arithmetic number, because the mean of its divisors is an integer number (1064006580).

Almost surely, 2^279285420960 is an apocalyptic number.

279285420960 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 279285420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612867790080).

279285420960 is an abundant number, since it is smaller than the sum of its proper divisors (946450159200).

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

279285420960 is a wasteful number, since it uses less digits than its factorization.

279285420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 279285420960 in words is "two hundred seventy-nine billion, two hundred eighty-five million, four hundred twenty thousand, nine hundred sixty".