82980868096 has 117 divisors (see below), whose sum is σ = 193334638491. Its totient is φ = 35507920896.

The previous prime is 82980868007. The next prime is 82980868111. The reversal of 82980868096 is 69086808928.

The square root of 82980868096 is 288064.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129052351 + ... + 129052993.

Almost surely, 2^82980868096 is an apocalyptic number.

82980868096 is the 288064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82980868096

82980868096 is an abundant number, since it is smaller than the sum of its proper divisors (110353770395).

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

82980868096 is an frugal number, since it uses more digits than its factorization.

82980868096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

Multiplying 82980868096 by its sum of digits (64), we get a square (5310775558144 = 2304512²).

82980868096 divided by its sum of digits (64) gives a square (1296576064 = 36008²).

The spelling of 82980868096 in words is "eighty-two billion, nine hundred eighty million, eight hundred sixty-eight thousand, ninety-six".