282216130560 has 960 divisors, whose sum is σ = 1245317673600. Its totient is φ = 59528577024.

The previous prime is 282216130541. The next prime is 282216130571. The reversal of 282216130560 is 65031612282.

282216130560 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 1 + 61 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 79 ways as a sum of consecutive naturals, for example, 75477171 + ... + 75480909.

It is an arithmetic number, because the mean of its divisors is an integer number (1297205910).

Almost surely, 2^282216130560 is an apocalyptic number.

282216130560 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 282216130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622658836800).

282216130560 is an abundant number, since it is smaller than the sum of its proper divisors (963101543040).

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

282216130560 is a wasteful number, since it uses less digits than its factorization.

282216130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 2822161 and 30560, that added together give a square (2852721 = 1689²).

The spelling of 282216130560 in words is "two hundred eighty-two billion, two hundred sixteen million, one hundred thirty thousand, five hundred sixty".