285285338240 has 256 divisors, whose sum is σ = 797029632000. Its totient is φ = 97605365760.

The previous prime is 285285338197. The next prime is 285285338263. The reversal of 285285338240 is 42833582582.

It is a super-2 number, since 2×285285338240² (a number of 24 digits) contains 22 as substring.

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, 133247570 + ... + 133249710.

It is an arithmetic number, because the mean of its divisors is an integer number (3113397000).

Almost surely, 2^285285338240 is an apocalyptic number.

285285338240 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 285285338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398514816000).

285285338240 is an abundant number, since it is smaller than the sum of its proper divisors (511744293760).

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

285285338240 is an equidigital number, since it uses as much as digits as its factorization.

285285338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 285285338240 in words is "two hundred eighty-five billion, two hundred eighty-five million, three hundred thirty-eight thousand, two hundred forty".