820058828704 has 12 divisors (see below), whose sum is σ = 1614490819074. Its totient is φ = 410029414336.

The previous prime is 820058828681. The next prime is 820058828747. The reversal of 820058828704 is 407828850028.

It can be written as a sum of positive squares in only one way, i.e., 733592250000 + 86466578704 = 856500^2 + 294052^2 .

It is a super-3 number, since 3×820058828704³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12813419167 + ... + 12813419230.

Almost surely, 2^820058828704 is an apocalyptic number.

It is an amenable number.

820058828704 is a deficient number, since it is larger than the sum of its proper divisors (794431990370).

820058828704 is a wasteful number, since it uses less digits than its factorization.

820058828704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25626838407 (or 25626838399 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 52.

The spelling of 820058828704 in words is "eight hundred twenty billion, fifty-eight million, eight hundred twenty-eight thousand, seven hundred four".