82580050056 has 384 divisors, whose sum is σ = 259955568000. Its totient is φ = 21727899648.

The previous prime is 82580050043. The next prime is 82580050061. The reversal of 82580050056 is 65005008528.

It is a junction number, because it is equal to n+sod(n) for n = 82580049996 and 82580050023.

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, 162239530 + ... + 162240038.

It is an arithmetic number, because the mean of its divisors is an integer number (676967625).

Almost surely, 2^82580050056 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 82580050056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129977784000).

82580050056 is an abundant number, since it is smaller than the sum of its proper divisors (177375517944).

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

82580050056 is a wasteful number, since it uses less digits than its factorization.

82580050056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 82580050056 in words is "eighty-two billion, five hundred eighty million, fifty thousand, fifty-six".