82527946806 has 32 divisors (see below), whose sum is σ = 167522135040. Its totient is φ = 27101044224.

The previous prime is 82527946783. The next prime is 82527946847. The reversal of 82527946806 is 60864972528.

It is a happy number.

It is a super-3 number, since 3×82527946806³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226686 + ... + 465233.

It is an arithmetic number, because the mean of its divisors is an integer number (5235066720).

Almost surely, 2^82527946806 is an apocalyptic number.

82527946806 is an abundant number, since it is smaller than the sum of its proper divisors (84994188234).

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

82527946806 is a wasteful number, since it uses less digits than its factorization.

82527946806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692220.

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 82527946806 in words is "eighty-two billion, five hundred twenty-seven million, nine hundred forty-six thousand, eight hundred six".