82065495072 has 144 divisors (see below), whose sum is σ = 240032207520. Its totient is φ = 24527416320.

The previous prime is 82065494939. The next prime is 82065495073. The reversal of 82065495072 is 27059456028.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82065495073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799579 + ... + 896357.

It is an arithmetic number, because the mean of its divisors is an integer number (1666890330).

Almost surely, 2^82065495072 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 82065495072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120016103760).

82065495072 is an abundant number, since it is smaller than the sum of its proper divisors (157966712448).

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

82065495072 is a wasteful number, since it uses less digits than its factorization.

82065495072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96887 (or 96868 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 82065495072 in words is "eighty-two billion, sixty-five million, four hundred ninety-five thousand, seventy-two".