82971695799720 has 3456 divisors, whose sum is σ = 379998158976000. Its totient is φ = 16030389473280.

The previous prime is 82971695799703. The next prime is 82971695799721. The reversal of 82971695799720 is 2799759617928.

82971695799720 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 16 + 9 + 579 + 9 + 7 + 20 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82971695799720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82971695799721) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 100086484266 + ... + 100086485094.

It is an arithmetic number, because the mean of its divisors is an integer number (109953171000).

Almost surely, 2^{82971695799720} 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 82971695799720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189999079488000).

82971695799720 is an abundant number, since it is smaller than the sum of its proper divisors (297026463176280).

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

82971695799720 is a wasteful number, since it uses less digits than its factorization.

82971695799720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2160406080, while the sum is 81.

The spelling of 82971695799720 in words is "eighty-two trillion, nine hundred seventy-one billion, six hundred ninety-five million, seven hundred ninety-nine thousand, seven hundred twenty".