285008518080 has 2016 divisors, whose sum is σ = 1278271507968. Its totient is φ = 59570380800.

The previous prime is 285008518063. The next prime is 285008518087. The reversal of 285008518080 is 80815800582.

285008518080 is a `hidden beast` number, since 2 + 8 + 50 + 0 + 8 + 518 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285008518087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4014204445 + ... + 4014204515.

It is an arithmetic number, because the mean of its divisors is an integer number (634063248).

Almost surely, 2^285008518080 is an apocalyptic number.

285008518080 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 285008518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639135753984).

285008518080 is an abundant number, since it is smaller than the sum of its proper divisors (993262989888).

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

285008518080 is a wasteful number, since it uses less digits than its factorization.

285008518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 285008518080 in words is "two hundred eighty-five billion, eight million, five hundred eighteen thousand, eighty".