82062765688512 has 896 divisors, whose sum is σ = 269781525594112. Its totient is φ = 21520583884800.

The previous prime is 82062765688499. The next prime is 82062765688529. The reversal of 82062765688512 is 21588656726028.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10018646337 + ... + 10018654527.

It is an arithmetic number, because the mean of its divisors is an integer number (301095452672).

Almost surely, 2^{82062765688512} 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 82062765688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134890762797056).

82062765688512 is an abundant number, since it is smaller than the sum of its proper divisors (187718759905600).

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

82062765688512 is a wasteful number, since it uses less digits than its factorization.

82062765688512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 66.

The spelling of 82062765688512 in words is "eighty-two trillion, sixty-two billion, seven hundred sixty-five million, six hundred eighty-eight thousand, five hundred twelve".