82660952304 has 960 divisors, whose sum is σ = 304284524544. Its totient is φ = 21210190848.

The previous prime is 82660952287. The next prime is 82660952321. The reversal of 82660952304 is 40325906628.

82660952304 is a `hidden beast` number, since 8 + 2 + 6 + 609 + 5 + 2 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (82660952287) and next prime (82660952321).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82660952304.

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 191 ways as a sum of consecutive naturals, for example, 995915047 + ... + 995915129.

Almost surely, 2^82660952304 is an apocalyptic number.

82660952304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82660952304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152142262272).

82660952304 is an abundant number, since it is smaller than the sum of its proper divisors (221623572240).

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

82660952304 is a wasteful number, since it uses less digits than its factorization.

82660952304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 82660952304 in words is "eighty-two billion, six hundred sixty million, nine hundred fifty-two thousand, three hundred four".