82178117405824 has 128 divisors (see below), whose sum is σ = 178938464544000. Its totient is φ = 37282394603520.

The previous prime is 82178117405801. The next prime is 82178117405869. The reversal of 82178117405824 is 42850471187128.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109329257 + ... + 2109368215.

It is an arithmetic number, because the mean of its divisors is an integer number (1397956754250).

Almost surely, 2^{82178117405824} 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 82178117405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89469232272000).

82178117405824 is an abundant number, since it is smaller than the sum of its proper divisors (96760347138176).

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

82178117405824 is a wasteful number, since it uses less digits than its factorization.

82178117405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41806 (or 41794 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 58.

The spelling of 82178117405824 in words is "eighty-two trillion, one hundred seventy-eight billion, one hundred seventeen million, four hundred five thousand, eight hundred twenty-four".