82575894528 has 672 divisors, whose sum is σ = 270698500800. Its totient is φ = 25082265600.

The previous prime is 82575894517. The next prime is 82575894553. The reversal of 82575894528 is 82549857528.

82575894528 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 589 + 45 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 55 ways as a sum of consecutive naturals, for example, 1163040733 + ... + 1163040803.

It is an arithmetic number, because the mean of its divisors is an integer number (402825150).

Almost surely, 2^82575894528 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 82575894528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135349250400).

82575894528 is an abundant number, since it is smaller than the sum of its proper divisors (188122606272).

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

82575894528 is an equidigital number, since it uses as much as digits as its factorization.

82575894528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 63.

The spelling of 82575894528 in words is "eighty-two billion, five hundred seventy-five million, eight hundred ninety-four thousand, five hundred twenty-eight".