285301800960 has 672 divisors, whose sum is σ = 1065419816832. Its totient is φ = 64424509440.

The previous prime is 285301800899. The next prime is 285301800983. The reversal of 285301800960 is 69008103582.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2941255632 + ... + 2941255728.

It is an arithmetic number, because the mean of its divisors is an integer number (1585446156).

Almost surely, 2^285301800960 is an apocalyptic number.

285301800960 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 285301800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532709908416).

285301800960 is an abundant number, since it is smaller than the sum of its proper divisors (780118015872).

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

285301800960 is an frugal number, since it uses more digits than its factorization.

285301800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 285301800960 in words is "two hundred eighty-five billion, three hundred one million, eight hundred thousand, nine hundred sixty".