284420052000 has 768 divisors, whose sum is σ = 1224081331200. Its totient is φ = 62763724800.

The previous prime is 284420051911. The next prime is 284420052013. The reversal of 284420052000 is 250024482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21917514 + ... + 21930486.

It is an arithmetic number, because the mean of its divisors is an integer number (1593855900).

Almost surely, 2^284420052000 is an apocalyptic number.

284420052000 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 284420052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612040665600).

284420052000 is an abundant number, since it is smaller than the sum of its proper divisors (939661279200).

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

284420052000 is a wasteful number, since it uses less digits than its factorization.

284420052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13043 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 284420052000 its reverse (250024482), we get a palindrome (284670076482).

The spelling of 284420052000 in words is "two hundred eighty-four billion, four hundred twenty million, fifty-two thousand".