282120520099080 has 512 divisors, whose sum is σ = 973450159718400. Its totient is φ = 64878279782400.

The previous prime is 282120520099037. The next prime is 282120520099127. The reversal of 282120520099080 is 80990025021282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17938602177 + ... + 17938617903.

It is an arithmetic number, because the mean of its divisors is an integer number (1901269843200).

Almost surely, 2^{282120520099080} is an apocalyptic number.

282120520099080 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 282120520099080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486725079859200).

282120520099080 is an abundant number, since it is smaller than the sum of its proper divisors (691329639619320).

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

282120520099080 is a wasteful number, since it uses less digits than its factorization.

282120520099080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28605 (or 28601 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 282120520099080 in words is "two hundred eighty-two trillion, one hundred twenty billion, five hundred twenty million, ninety-nine thousand, eighty".