285945246720 has 396 divisors, whose sum is σ = 1152564029604. Its totient is φ = 65358397440.

The previous prime is 285945246679. The next prime is 285945246793. The reversal of 285945246720 is 27642549582.

285945246720 is a `hidden beast` number, since 2 + 8 + 5 + 94 + 524 + 6 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80801473536 + 205143773184 = 284256^2 + 452928^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2194600 + ... + 2321240.

Almost surely, 2^285945246720 is an apocalyptic number.

285945246720 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 285945246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576282014802).

285945246720 is an abundant number, since it is smaller than the sum of its proper divisors (866618782884).

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

285945246720 is a wasteful number, since it uses less digits than its factorization.

285945246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126686 (or 126658 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 285945246720 in words is "two hundred eighty-five billion, nine hundred forty-five million, two hundred forty-six thousand, seven hundred twenty".