285811680000 has 2160 divisors, whose sum is σ = 1290883784960. Its totient is φ = 54743040000.

The previous prime is 285811679987. The next prime is 285811680029. The reversal of 285811680000 is 86118582.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 7724639982 + ... + 7724640018.

Almost surely, 2^285811680000 is an apocalyptic number.

285811680000 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 285811680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645441892480).

285811680000 is an abundant number, since it is smaller than the sum of its proper divisors (1005072104960).

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

285811680000 is a wasteful number, since it uses less digits than its factorization.

285811680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

Adding to 285811680000 its reverse (86118582), we get a palindrome (285897798582).

The spelling of 285811680000 in words is "two hundred eighty-five billion, eight hundred eleven million, six hundred eighty thousand".