820058049666 has 32 divisors (see below), whose sum is σ = 1838478237120. Its totient is φ = 270933630912.

The previous prime is 820058049647. The next prime is 820058049667. The reversal of 820058049666 is 666940850028.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (820058049667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67189740 + ... + 67201943.

It is an arithmetic number, because the mean of its divisors is an integer number (57452444910).

Almost surely, 2^820058049666 is an apocalyptic number.

820058049666 is an abundant number, since it is smaller than the sum of its proper divisors (1018420187454).

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

820058049666 is a wasteful number, since it uses less digits than its factorization.

820058049666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134391807 (or 134391801 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 820058049666 in words is "eight hundred twenty billion, fifty-eight million, forty-nine thousand, six hundred sixty-six".