82827003073362 has 64 divisors (see below), whose sum is σ = 170893974528000. Its totient is φ = 26750393324928.

The previous prime is 82827003073343. The next prime is 82827003073363. The reversal of 82827003073362 is 26337030072828.

It is a happy number.

It is a super-3 number, since 3×82827003073362³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (82827003073363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13310103 + ... + 18515205.

It is an arithmetic number, because the mean of its divisors is an integer number (2670218352000).

Almost surely, 2^{82827003073362} is an apocalyptic number.

82827003073362 is an abundant number, since it is smaller than the sum of its proper divisors (88066971454638).

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

82827003073362 is a wasteful number, since it uses less digits than its factorization.

82827003073362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205815.

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 82827003073362 in words is "eighty-two trillion, eight hundred twenty-seven billion, three million, seventy-three thousand, three hundred sixty-two".