282821329647120 has 480 divisors, whose sum is σ = 974162150881920. Its totient is φ = 67820239872000.

The previous prime is 282821329647119. The next prime is 282821329647133. The reversal of 282821329647120 is 21746923128282.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1902307027 + ... + 1902455693.

It is an arithmetic number, because the mean of its divisors is an integer number (2029504481004).

Almost surely, 2^{282821329647120} is an apocalyptic number.

282821329647120 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 282821329647120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487081075440960).

282821329647120 is an abundant number, since it is smaller than the sum of its proper divisors (691340821234800).

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

282821329647120 is a wasteful number, since it uses less digits than its factorization.

282821329647120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149415 (or 149398 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 282821329647120 in words is "two hundred eighty-two trillion, eight hundred twenty-one billion, three hundred twenty-nine million, six hundred forty-seven thousand, one hundred twenty".