82264545792 has 480 divisors, whose sum is σ = 281352367296. Its totient is φ = 22811443200.

The previous prime is 82264545757. The next prime is 82264545799. The reversal of 82264545792 is 29754546228.

82264545792 is a `hidden beast` number, since 8 + 2 + 2 + 6 + 4 + 545 + 7 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (82264545799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86321188 + ... + 86322140.

Almost surely, 2^82264545792 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 82264545792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140676183648).

82264545792 is an abundant number, since it is smaller than the sum of its proper divisors (199087821504).

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

82264545792 is a wasteful number, since it uses less digits than its factorization.

82264545792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1113 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 82264545792 in words is "eighty-two billion, two hundred sixty-four million, five hundred forty-five thousand, seven hundred ninety-two".