82676820413952 has 560 divisors, whose sum is σ = 259370714310048. Its totient is φ = 26266148536320.

The previous prime is 82676820413933. The next prime is 82676820413987. The reversal of 82676820413952 is 25931402867628.

82676820413952 is a `hidden beast` number, since 8 + 26 + 76 + 82 + 0 + 413 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82676820413952.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 2412284688 + ... + 2412318960.

It is a 2-persistent number, because it is pandigital, and so is 2⋅82676820413952 = 165353640827904, but 3⋅82676820413952 = 248030461241856 is not.

Almost surely, 2^{82676820413952} 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 82676820413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129685357155024).

82676820413952 is an abundant number, since it is smaller than the sum of its proper divisors (176693893896096).

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

82676820413952 is an equidigital number, since it uses as much as digits as its factorization.

82676820413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34613 (or 34582 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 82676820413952 in words is "eighty-two trillion, six hundred seventy-six billion, eight hundred twenty million, four hundred thirteen thousand, nine hundred fifty-two".