82842725856 has 192 divisors, whose sum is σ = 239744655360. Its totient is φ = 24839055360.

The previous prime is 82842725831. The next prime is 82842725863. The reversal of 82842725856 is 65852724828.

It is a junction number, because it is equal to n+sod(n) for n = 82842725796 and 82842725805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74699830 + ... + 74700938.

It is an arithmetic number, because the mean of its divisors is an integer number (1248670080).

Almost surely, 2^82842725856 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 82842725856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119872327680).

82842725856 is an abundant number, since it is smaller than the sum of its proper divisors (156901929504).

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

82842725856 is a wasteful number, since it uses less digits than its factorization.

82842725856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1809 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 57.

The spelling of 82842725856 in words is "eighty-two billion, eight hundred forty-two million, seven hundred twenty-five thousand, eight hundred fifty-six".