82890624366 has 96 divisors (see below), whose sum is σ = 199036970496. Its totient is φ = 24719904000.

The previous prime is 82890624359. The next prime is 82890624373. The reversal of 82890624366 is 66342609828.

82890624366 is a `hidden beast` number, since 8 + 2 + 8 + 9 + 0 + 624 + 3 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (82890624359) and next prime (82890624373).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18052731 + ... + 18057321.

It is an arithmetic number, because the mean of its divisors is an integer number (2073301776).

Almost surely, 2^82890624366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82890624366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99518485248).

82890624366 is an abundant number, since it is smaller than the sum of its proper divisors (116146346130).

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

82890624366 is a wasteful number, since it uses less digits than its factorization.

82890624366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 82890624366 in words is "eighty-two billion, eight hundred ninety million, six hundred twenty-four thousand, three hundred sixty-six".