820942249028 has 24 divisors (see below), whose sum is σ = 1567326983040. Its totient is φ = 373138044320.

The previous prime is 820942249007. The next prime is 820942249037.

It is a happy number.

820942249028 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533750 + ... + 1388082.

It is an arithmetic number, because the mean of its divisors is an integer number (65305290960).

Almost surely, 2^820942249028 is an apocalyptic number.

It is an amenable number.

820942249028 is a deficient number, since it is larger than the sum of its proper divisors (746384734012).

820942249028 is a wasteful number, since it uses less digits than its factorization.

820942249028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876187 (or 876185 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 820942249028 in words is "eight hundred twenty billion, nine hundred forty-two million, two hundred forty-nine thousand, twenty-eight".