82573821895968 has 576 divisors, whose sum is σ = 256991035392000. Its totient is φ = 24998710302720.

The previous prime is 82573821895951. The next prime is 82573821896017. The reversal of 82573821895968 is 86959812837528.

82573821895968 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 3 + 8 + 2 + 18 + 9 + 596 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34420099633 + ... + 34420102031.

It is an arithmetic number, because the mean of its divisors is an integer number (446164992000).

Almost surely, 2^{82573821895968} 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 82573821895968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128495517696000).

82573821895968 is an abundant number, since it is smaller than the sum of its proper divisors (174417213496032).

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

82573821895968 is a wasteful number, since it uses less digits than its factorization.

82573821895968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3114 counting only the distinct ones).

The product of its digits is 4180377600, while the sum is 81.

The spelling of 82573821895968 in words is "eighty-two trillion, five hundred seventy-three billion, eight hundred twenty-one million, eight hundred ninety-five thousand, nine hundred sixty-eight".