282097166130 has 256 divisors, whose sum is σ = 854820288000. Its totient is φ = 65625956352.

The previous prime is 282097166119. The next prime is 282097166189. The reversal of 282097166130 is 31661790282.

282097166130 is a `hidden beast` number, since 2 + 8 + 20 + 9 + 7 + 1 + 6 + 613 + 0 = 666.

It is a super-3 number, since 3×282097166130³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28871886 + ... + 28881654.

It is an arithmetic number, because the mean of its divisors is an integer number (3339141750).

Almost surely, 2^282097166130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282097166130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427410144000).

282097166130 is an abundant number, since it is smaller than the sum of its proper divisors (572723121870).

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

282097166130 is a wasteful number, since it uses less digits than its factorization.

282097166130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 282097166130 in words is "two hundred eighty-two billion, ninety-seven million, one hundred sixty-six thousand, one hundred thirty".