82556886667948 has 192 divisors, whose sum is σ = 183159175643136. Its totient is φ = 31626995904000.

The previous prime is 82556886667919. The next prime is 82556886667949. The reversal of 82556886667948 is 84976668865528.

82556886667948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (82556886667949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6515413653 + ... + 6515426323.

It is an arithmetic number, because the mean of its divisors is an integer number (953954039808).

Almost surely, 2^{82556886667948} 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 82556886667948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91579587821568).

82556886667948 is an abundant number, since it is smaller than the sum of its proper divisors (100602288975188).

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

82556886667948 is a wasteful number, since it uses less digits than its factorization.

82556886667948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13964 (or 13962 counting only the distinct ones).

The product of its digits is 66886041600, while the sum is 88.

The spelling of 82556886667948 in words is "eighty-two trillion, five hundred fifty-six billion, eight hundred eighty-six million, six hundred sixty-seven thousand, nine hundred forty-eight".