82888676556 has 144 divisors (see below), whose sum is σ = 244465320960. Its totient is φ = 21712199040.

The previous prime is 82888676503. The next prime is 82888676567. The reversal of 82888676556 is 65567688828.

It is a super-2 number, since 2×82888676556² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226666 + ... + 465998.

It is an arithmetic number, because the mean of its divisors is an integer number (1697675840).

Almost surely, 2^82888676556 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 82888676556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122232660480).

82888676556 is an abundant number, since it is smaller than the sum of its proper divisors (161576644404).

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

82888676556 is a wasteful number, since it uses less digits than its factorization.

82888676556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239404 (or 239395 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 69.

The spelling of 82888676556 in words is "eighty-two billion, eight hundred eighty-eight million, six hundred seventy-six thousand, five hundred fifty-six".