82208976192 has 504 divisors, whose sum is σ = 286097325696. Its totient is φ = 23336957952.

The previous prime is 82208976173. The next prime is 82208976217. The reversal of 82208976192 is 29167980228.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 177556953 + ... + 177557415.

It is an arithmetic number, because the mean of its divisors is an integer number (567653424).

Almost surely, 2^82208976192 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 82208976192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143048662848).

82208976192 is an abundant number, since it is smaller than the sum of its proper divisors (203888349504).

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

82208976192 is a wasteful number, since it uses less digits than its factorization.

82208976192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 82208976192 in words is "eighty-two billion, two hundred eight million, nine hundred seventy-six thousand, one hundred ninety-two".