82560473384704 has 216 divisors, whose sum is σ = 192700354613760. Its totient is φ = 35199446833152.

The previous prime is 82560473384629. The next prime is 82560473384707. The reversal of 82560473384704 is 40748337406528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82560473384707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4260296487 + ... + 4260315865.

It is an arithmetic number, because the mean of its divisors is an integer number (892131271360).

Almost surely, 2^{82560473384704} 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 82560473384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96350177306880).

82560473384704 is an abundant number, since it is smaller than the sum of its proper divisors (110139881229056).

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

82560473384704 is a wasteful number, since it uses less digits than its factorization.

82560473384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21155 (or 21134 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 61.

The spelling of 82560473384704 in words is "eighty-two trillion, five hundred sixty billion, four hundred seventy-three million, three hundred eighty-four thousand, seven hundred four".