82859509316864 has 144 divisors (see below), whose sum is σ = 189900482825088. Its totient is φ = 35346490023936.

The previous prime is 82859509316833. The next prime is 82859509316867. The reversal of 82859509316864 is 46861390595828.

It is a junction number, because it is equal to n+sod(n) for n = 82859509316791 and 82859509316800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82859509316867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1925287154 + ... + 1925330190.

It is an arithmetic number, because the mean of its divisors is an integer number (1318753352952).

Almost surely, 2^{82859509316864} 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 82859509316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94950241412544).

82859509316864 is an abundant number, since it is smaller than the sum of its proper divisors (107040973508224).

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

82859509316864 is a wasteful number, since it uses less digits than its factorization.

82859509316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48020 (or 48006 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 74.

The spelling of 82859509316864 in words is "eighty-two trillion, eight hundred fifty-nine billion, five hundred nine million, three hundred sixteen thousand, eight hundred sixty-four".