82589956506 has 64 divisors (see below), whose sum is σ = 186731318400. Its totient is φ = 27052299648.

The previous prime is 82589956483. The next prime is 82589956513. The reversal of 82589956506 is 60565998528.

It is a super-2 number, since 2×82589956506² (a number of 23 digits) contains 22 as substring.

It is a Curzon 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, 1451856 + ... + 1507668.

It is an arithmetic number, because the mean of its divisors is an integer number (2917676850).

Almost surely, 2^82589956506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82589956506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93365659200).

82589956506 is an abundant number, since it is smaller than the sum of its proper divisors (104141361894).

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

82589956506 is a wasteful number, since it uses less digits than its factorization.

82589956506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56300 (or 56294 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 82589956506 in words is "eighty-two billion, five hundred eighty-nine million, nine hundred fifty-six thousand, five hundred six".