82580928768 has 648 divisors, whose sum is σ = 280746997440. Its totient is φ = 23141376000.

The previous prime is 82580928761. The next prime is 82580928791. The reversal of 82580928768 is 86782908528.

It is not an unprimeable number, because it can be changed into a prime (82580928761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546893493 + ... + 546893643.

Almost surely, 2^82580928768 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 82580928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140373498720).

82580928768 is an abundant number, since it is smaller than the sum of its proper divisors (198166068672).

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

82580928768 is a wasteful number, since it uses less digits than its factorization.

82580928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 82580928768 in words is "eighty-two billion, five hundred eighty million, nine hundred twenty-eight thousand, seven hundred sixty-eight".