820166913207 has 80 divisors (see below), whose sum is σ = 1310404677120. Its totient is φ = 510054038208.

The previous prime is 820166913193. The next prime is 820166913229. The reversal of 820166913207 is 702319661028.

820166913207 is a `hidden beast` number, since 82 + 0 + 166 + 91 + 320 + 7 = 666.

It is not a de Polignac number, because 820166913207 - 2⁶ = 820166913143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820166413207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16464544 + ... + 16514282.

It is an arithmetic number, because the mean of its divisors is an integer number (16380058464).

Almost surely, 2^820166913207 is an apocalyptic number.

820166913207 is a deficient number, since it is larger than the sum of its proper divisors (490237763913).

820166913207 is a wasteful number, since it uses less digits than its factorization.

820166913207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49994 (or 49985 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 820166913207 in words is "eight hundred twenty billion, one hundred sixty-six million, nine hundred thirteen thousand, two hundred seven".