285365106000 has 1440 divisors, whose sum is σ = 1174643817984. Its totient is φ = 66531456000.

The previous prime is 285365105939. The next prime is 285365106007. The reversal of 285365106000 is 601563582.

285365106000 is a `hidden beast` number, since 2 + 8 + 5 + 36 + 5 + 10 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285365106007) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 6071597977 + ... + 6071598023.

Almost surely, 2^285365106000 is an apocalyptic number.

285365106000 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 285365106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587321908992).

285365106000 is an abundant number, since it is smaller than the sum of its proper divisors (889278711984).

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

285365106000 is a wasteful number, since it uses less digits than its factorization.

285365106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 285365106000 its reverse (601563582), we get a palindrome (285966669582).

The spelling of 285365106000 in words is "two hundred eighty-five billion, three hundred sixty-five million, one hundred six thousand".