82158438890160 has 1280 divisors, whose sum is σ = 326009534054400. Its totient is φ = 18888271773696.

The previous prime is 82158438890111. The next prime is 82158438890161. The reversal of 82158438890160 is 6109883485128.

82158438890160 is a `hidden beast` number, since 8 + 2 + 1 + 5 + 8 + 4 + 388 + 90 + 160 = 666.

82158438890160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (82158438890161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2721634587 + ... + 2721664773.

It is an arithmetic number, because the mean of its divisors is an integer number (254694948480).

Almost surely, 2^{82158438890160} is an apocalyptic number.

82158438890160 is a gapful number since it is divisible by the number (80) 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 82158438890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163004767027200).

82158438890160 is an abundant number, since it is smaller than the sum of its proper divisors (243851095164240).

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

82158438890160 is a wasteful number, since it uses less digits than its factorization.

82158438890160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30375 (or 30363 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 82158438890160 in words is "eighty-two trillion, one hundred fifty-eight billion, four hundred thirty-eight million, eight hundred ninety thousand, one hundred sixty".