82080862915968 has 384 divisors, whose sum is σ = 270666434787840. Its totient is φ = 23388521472000.

The previous prime is 82080862915967. The next prime is 82080862915999. The reversal of 82080862915968 is 86951926808028.

82080862915968 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 0 + 8 + 6 + 29 + 1 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82080862915896 and 82080862915905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82080862915967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996696171 + ... + 4996712597.

It is an arithmetic number, because the mean of its divisors is an integer number (704860507260).

Almost surely, 2^{82080862915968} 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 82080862915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135333217393920).

82080862915968 is an abundant number, since it is smaller than the sum of its proper divisors (188585571871872).

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

82080862915968 is a wasteful number, since it uses less digits than its factorization.

82080862915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18086 (or 18071 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 82080862915968 in words is "eighty-two trillion, eighty billion, eight hundred sixty-two million, nine hundred fifteen thousand, nine hundred sixty-eight".