82560979584 has 384 divisors, whose sum is σ = 253420876800. Its totient is φ = 25746259968.

The previous prime is 82560979573. The next prime is 82560979597. The reversal of 82560979584 is 48597906528.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370228497 + ... + 370228719.

It is an arithmetic number, because the mean of its divisors is an integer number (659950200).

Almost surely, 2^82560979584 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 82560979584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126710438400).

82560979584 is an abundant number, since it is smaller than the sum of its proper divisors (170859897216).

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

82560979584 is a wasteful number, since it uses less digits than its factorization.

82560979584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 82560979584 in words is "eighty-two billion, five hundred sixty million, nine hundred seventy-nine thousand, five hundred eighty-four".