82719184128 has 144 divisors (see below), whose sum is σ = 252800088576. Its totient is φ = 23521720320.

The previous prime is 82719184099. The next prime is 82719184153. The reversal of 82719184128 is 82148191728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097875 + ... + 1170797.

Almost surely, 2^82719184128 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 82719184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126400044288).

82719184128 is an abundant number, since it is smaller than the sum of its proper divisors (170080904448).

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

82719184128 is a wasteful number, since it uses less digits than its factorization.

82719184128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73160 (or 73146 counting only the distinct ones).

The product of its digits is 516096, while the sum is 51.

The spelling of 82719184128 in words is "eighty-two billion, seven hundred nineteen million, one hundred eighty-four thousand, one hundred twenty-eight".