284960229120 has 864 divisors, whose sum is σ = 1192806451200. Its totient is φ = 65109381120.

The previous prime is 284960229109. The next prime is 284960229179. The reversal of 284960229120 is 21922069482.

284960229120 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 602 + 29 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 106685385 + ... + 106688055.

Almost surely, 2^284960229120 is an apocalyptic number.

284960229120 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 284960229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596403225600).

284960229120 is an abundant number, since it is smaller than the sum of its proper divisors (907846222080).

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

284960229120 is an frugal number, since it uses more digits than its factorization.

284960229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 284960229120 in words is "two hundred eighty-four billion, nine hundred sixty million, two hundred twenty-nine thousand, one hundred twenty".