82101828980736 has 832 divisors, whose sum is σ = 261549822182400. Its totient is φ = 25358657126400.

The previous prime is 82101828980707. The next prime is 82101828980741. The reversal of 82101828980736 is 63708982810128.

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 63 ways as a sum of consecutive naturals, for example, 77381553646 + ... + 77381554706.

Almost surely, 2^{82101828980736} 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 82101828980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130774911091200).

82101828980736 is an abundant number, since it is smaller than the sum of its proper divisors (179447993201664).

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

82101828980736 is a wasteful number, since it uses less digits than its factorization.

82101828980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 82101828980736 in words is "eighty-two trillion, one hundred one billion, eight hundred twenty-eight million, nine hundred eighty thousand, seven hundred thirty-six".