282420864000 has 2816 divisors, whose sum is σ = 1324333670400. Its totient is φ = 58392576000.

The previous prime is 282420863993. The next prime is 282420864041. The reversal of 282420864000 is 468024282.

It is a happy number.

282420864000 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 2 + 0 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12279167989 + ... + 12279168011.

Almost surely, 2^282420864000 is an apocalyptic number.

282420864000 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 282420864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662166835200).

282420864000 is an abundant number, since it is smaller than the sum of its proper divisors (1041912806400).

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

282420864000 is a wasteful number, since it uses less digits than its factorization.

282420864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 282420864000 its reverse (468024282), we get a palindrome (282888888282).

The spelling of 282420864000 in words is "two hundred eighty-two billion, four hundred twenty million, eight hundred sixty-four thousand".