285143967360 has 512 divisors, whose sum is σ = 1177732800000. Its totient is φ = 65174409216.

The previous prime is 285143967323. The next prime is 285143967403. The reversal of 285143967360 is 63769341582.

285143967360 is a `hidden beast` number, since 2 + 8 + 514 + 3 + 9 + 67 + 3 + 60 = 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 = 285143967297 and 285143967306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5902986 + ... + 5951094.

It is an arithmetic number, because the mean of its divisors is an integer number (2300259375).

It is a 1-persistent number, because it is pandigital, but 2⋅285143967360 = 570287934720 is not.

Almost surely, 2^285143967360 is an apocalyptic number.

285143967360 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 285143967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588866400000).

285143967360 is an abundant number, since it is smaller than the sum of its proper divisors (892588832640).

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

285143967360 is an equidigital number, since it uses as much as digits as its factorization.

285143967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48158 (or 48126 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 285143967360 in words is "two hundred eighty-five billion, one hundred forty-three million, nine hundred sixty-seven thousand, three hundred sixty".