82394586790956 has 960 divisors, whose sum is σ = 273422495808000. Its totient is φ = 21296724664320.

The previous prime is 82394586790931. The next prime is 82394586790963. The reversal of 82394586790956 is 65909768549328.

82394586790956 is a `hidden beast` number, since 8 + 2 + 3 + 9 + 458 + 6 + 79 + 0 + 95 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3638843371 + ... + 3638866013.

It is an arithmetic number, because the mean of its divisors is an integer number (284815099800).

Almost surely, 2^{82394586790956} 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 82394586790956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136711247904000).

82394586790956 is an abundant number, since it is smaller than the sum of its proper divisors (191027909017044).

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

82394586790956 is a wasteful number, since it uses less digits than its factorization.

82394586790956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22844 (or 22833 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 81.

The spelling of 82394586790956 in words is "eighty-two trillion, three hundred ninety-four billion, five hundred eighty-six million, seven hundred ninety thousand, nine hundred fifty-six".