82829332656 has 180 divisors, whose sum is σ = 270846283032. Its totient is φ = 23560814592.

The previous prime is 82829332639. The next prime is 82829332673. The reversal of 82829332656 is 65623392828.

82829332656 is a `hidden beast` number, since 8 + 28 + 293 + 326 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (82829332639) and next prime (82829332673).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1575856 + ... + 1627568.

Almost surely, 2^82829332656 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 82829332656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135423141516).

82829332656 is an abundant number, since it is smaller than the sum of its proper divisors (188016950376).

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

82829332656 is a wasteful number, since it uses less digits than its factorization.

82829332656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51968 (or 51952 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 82829332656 in words is "eighty-two billion, eight hundred twenty-nine million, three hundred thirty-two thousand, six hundred fifty-six".