82486657255296 has 256 divisors, whose sum is σ = 257263140879360. Its totient is φ = 22922674569216.

The previous prime is 82486657255271. The next prime is 82486657255349. The reversal of 82486657255296 is 69255275668428.

It is a happy number.

It is a super-2 number, since 2×82486657255296² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288577920 + ... + 288863616.

It is an arithmetic number, because the mean of its divisors is an integer number (1004934144060).

Almost surely, 2^{82486657255296} 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 82486657255296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128631570439680).

82486657255296 is an abundant number, since it is smaller than the sum of its proper divisors (174776483624064).

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

82486657255296 is a wasteful number, since it uses less digits than its factorization.

82486657255296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288661 (or 288649 counting only the distinct ones).

The product of its digits is 3483648000, while the sum is 75.

The spelling of 82486657255296 in words is "eighty-two trillion, four hundred eighty-six billion, six hundred fifty-seven million, two hundred fifty-five thousand, two hundred ninety-six".