820828211105 has 48 divisors (see below), whose sum is σ = 1207450918080. Its totient is φ = 532639110528.

The previous prime is 820828211069. The next prime is 820828211107. The reversal of 820828211105 is 501112828028.

It is not a de Polignac number, because 820828211105 - 2³⁸ = 545950304161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820828211107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4124879 + ... + 4319291.

It is an arithmetic number, because the mean of its divisors is an integer number (25155227460).

Almost surely, 2^820828211105 is an apocalyptic number.

It is an amenable number.

820828211105 is a deficient number, since it is larger than the sum of its proper divisors (386622706975).

820828211105 is a wasteful number, since it uses less digits than its factorization.

820828211105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195358 (or 195351 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 38.

The spelling of 820828211105 in words is "eight hundred twenty billion, eight hundred twenty-eight million, two hundred eleven thousand, one hundred five".