82575072165256 has 192 divisors, whose sum is σ = 175065104148480. Its totient is φ = 36469950000000.

The previous prime is 82575072165241. The next prime is 82575072165263. The reversal of 82575072165256 is 65256127057528.

It is a junction number, because it is equal to n+sod(n) for n = 82575072165194 and 82575072165203.

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 47 ways as a sum of consecutive naturals, for example, 3551451631 + ... + 3551474881.

It is an arithmetic number, because the mean of its divisors is an integer number (911797417440).

Almost surely, 2^{82575072165256} 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 82575072165256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87532552074240).

82575072165256 is an abundant number, since it is smaller than the sum of its proper divisors (92490031983224).

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

82575072165256 is a wasteful number, since it uses less digits than its factorization.

82575072165256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23888 (or 23873 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 61.

The spelling of 82575072165256 in words is "eighty-two trillion, five hundred seventy-five billion, seventy-two million, one hundred sixty-five thousand, two hundred fifty-six".