82709682120 has 512 divisors, whose sum is σ = 310001126400. Its totient is φ = 19480780800.

The previous prime is 82709682103. The next prime is 82709682217. The reversal of 82709682120 is 2128690728.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 30507565 + ... + 30510275.

It is an arithmetic number, because the mean of its divisors is an integer number (605470950).

Almost surely, 2^82709682120 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 82709682120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155000563200).

82709682120 is an abundant number, since it is smaller than the sum of its proper divisors (227291444280).

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

82709682120 is a wasteful number, since it uses less digits than its factorization.

82709682120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 82709682120 in words is "eighty-two billion, seven hundred nine million, six hundred eighty-two thousand, one hundred twenty".