285982836720 has 320 divisors, whose sum is σ = 1028627496960. Its totient is φ = 64379556864.

The previous prime is 285982836673. The next prime is 285982836743. The reversal of 285982836720 is 27638289582.

It is a happy number.

It is a super-3 number, since 3×285982836720³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29652219 + ... + 29661861.

It is an arithmetic number, because the mean of its divisors is an integer number (3214460928).

Almost surely, 2^285982836720 is an apocalyptic number.

285982836720 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 285982836720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514313748480).

285982836720 is an abundant number, since it is smaller than the sum of its proper divisors (742644660240).

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

285982836720 is a wasteful number, since it uses less digits than its factorization.

285982836720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 285982836720 in words is "two hundred eighty-five billion, nine hundred eighty-two million, eight hundred thirty-six thousand, seven hundred twenty".