82284520249088 has 144 divisors (see below), whose sum is σ = 166698612741024. Its totient is φ = 40532571340800.

The previous prime is 82284520249039. The next prime is 82284520249157. The reversal of 82284520249088 is 88094202548228.

It is a self number, because there is not a number n which added to its sum of digits gives 82284520249088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15712145606 + ... + 15712150842.

It is an arithmetic number, because the mean of its divisors is an integer number (1157629255146).

Almost surely, 2^{82284520249088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82284520249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83349306370512).

82284520249088 is an abundant number, since it is smaller than the sum of its proper divisors (84414092491936).

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

82284520249088 is a wasteful number, since it uses less digits than its factorization.

82284520249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 62.

The spelling of 82284520249088 in words is "eighty-two trillion, two hundred eighty-four billion, five hundred twenty million, two hundred forty-nine thousand, eighty-eight".