82211659427984 has 80 divisors (see below), whose sum is σ = 169707743723520. Its totient is φ = 38446510417920.

The previous prime is 82211659427983. The next prime is 82211659428007. The reversal of 82211659427984 is 48972495611228.

It is a happy number.

82211659427984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (82211659427981) 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, 102134129 + ... + 102935919.

It is an arithmetic number, because the mean of its divisors is an integer number (2121346796544).

Almost surely, 2^{82211659427984} 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 82211659427984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84853871861760).

82211659427984 is an abundant number, since it is smaller than the sum of its proper divisors (87496084295536).

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

82211659427984 is a wasteful number, since it uses less digits than its factorization.

82211659427984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804168 (or 804162 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 68.

The spelling of 82211659427984 in words is "eighty-two trillion, two hundred eleven billion, six hundred fifty-nine million, four hundred twenty-seven thousand, nine hundred eighty-four".