82566703296 has 896 divisors, whose sum is σ = 314799390720. Its totient is φ = 20860830720.

The previous prime is 82566703253. The next prime is 82566703301. The reversal of 82566703296 is 69230766528.

82566703296 is a `hidden beast` number, since 8 + 2 + 566 + 70 + 3 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 506544111 + ... + 506544273.

Almost surely, 2^82566703296 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 82566703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157399695360).

82566703296 is an abundant number, since it is smaller than the sum of its proper divisors (232232687424).

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

82566703296 is a wasteful number, since it uses less digits than its factorization.

82566703296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 82566703296 in words is "eighty-two billion, five hundred sixty-six million, seven hundred three thousand, two hundred ninety-six".