82479142408080 has 320 divisors, whose sum is σ = 283120400563200. Its totient is φ = 19694576732160.

The previous prime is 82479142408067. The next prime is 82479142408099. The reversal of 82479142408080 is 8080424197428.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82479142408080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2700765451 + ... + 2700795989.

It is an arithmetic number, because the mean of its divisors is an integer number (884751251760).

Almost surely, 2^{82479142408080} is an apocalyptic number.

82479142408080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82479142408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141560200281600).

82479142408080 is an abundant number, since it is smaller than the sum of its proper divisors (200641258155120).

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

82479142408080 is a wasteful number, since it uses less digits than its factorization.

82479142408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45902 (or 45896 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 82479142408080 in words is "eighty-two trillion, four hundred seventy-nine billion, one hundred forty-two million, four hundred eight thousand, eighty".