82782772992 has 216 divisors, whose sum is σ = 250074406400. Its totient is φ = 26304030720.

The previous prime is 82782772939. The next prime is 82782773009. The reversal of 82782772992 is 29927728728.

82782772992 is a `hidden beast` number, since 8 + 2 + 78 + 277 + 299 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4776759 + ... + 4794057.

Almost surely, 2^82782772992 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 82782772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125037203200).

82782772992 is an abundant number, since it is smaller than the sum of its proper divisors (167291633408).

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

82782772992 is a wasteful number, since it uses less digits than its factorization.

82782772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419 (or 17402 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 82782772992 in words is "eighty-two billion, seven hundred eighty-two million, seven hundred seventy-two thousand, nine hundred ninety-two".