285648618960 has 360 divisors, whose sum is σ = 1048614446880. Its totient is φ = 72161342208.

The previous prime is 285648618947. The next prime is 285648618973. The reversal of 285648618960 is 69816846582.

285648618960 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 4 + 8 + 618 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (285648618947) and next prime (285648618973).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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, 9958399 + ... + 9987041.

It is an arithmetic number, because the mean of its divisors is an integer number (2912817908).

Almost surely, 2^285648618960 is an apocalyptic number.

285648618960 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 285648618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524307223440).

285648618960 is an abundant number, since it is smaller than the sum of its proper divisors (762965827920).

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

285648618960 is an equidigital number, since it uses as much as digits as its factorization.

285648618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28699 (or 28672 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 285648618960 in words is "two hundred eighty-five billion, six hundred forty-eight million, six hundred eighteen thousand, nine hundred sixty".