82919282688 has 720 divisors, whose sum is σ = 289436467320. Its totient is φ = 23648993280.

The previous prime is 82919282659. The next prime is 82919282729. The reversal of 82919282688 is 88628291928.

82919282688 is a `hidden beast` number, since 8 + 291 + 9 + 282 + 68 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 59 ways as a sum of consecutive naturals, for example, 4877604856 + ... + 4877604872.

Almost surely, 2^82919282688 is an apocalyptic number.

82919282688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82919282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144718233660).

82919282688 is an abundant number, since it is smaller than the sum of its proper divisors (206517184632).

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

82919282688 is an frugal number, since it uses more digits than its factorization.

82919282688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 33 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The spelling of 82919282688 in words is "eighty-two billion, nine hundred nineteen million, two hundred eighty-two thousand, six hundred eighty-eight".