82791680000 has 240 divisors, whose sum is σ = 210006276480. Its totient is φ = 32614400000.

The previous prime is 82791679981. The next prime is 82791680011. The reversal of 82791680000 is 8619728.

It is a self number, because there is not a number n which added to its sum of digits gives 82791680000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90879545 + ... + 90880455.

It is an arithmetic number, because the mean of its divisors is an integer number (875026152).

Almost surely, 2^82791680000 is an apocalyptic number.

82791680000 is a gapful number since it is divisible by the number (80) 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 82791680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105003138240).

82791680000 is an abundant number, since it is smaller than the sum of its proper divisors (127214596480).

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

82791680000 is an frugal number, since it uses more digits than its factorization.

82791680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 82791680000 in words is "eighty-two billion, seven hundred ninety-one million, six hundred eighty thousand".