820668886880 has 48 divisors (see below), whose sum is σ = 1947371433840. Its totient is φ = 326821427712.

The previous prime is 820668886819. The next prime is 820668886889. The reversal of 820668886880 is 88688866028.

It is a happy number.

It is a super-2 number, since 2×820668886880² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820668886880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820668886889) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 11261435 + ... + 11334074.

It is an arithmetic number, because the mean of its divisors is an integer number (40570238205).

Almost surely, 2^820668886880 is an apocalyptic number.

820668886880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820668886880 is an abundant number, since it is smaller than the sum of its proper divisors (1126702546960).

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

820668886880 is a wasteful number, since it uses less digits than its factorization.

820668886880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22595751 (or 22595743 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 68.

The spelling of 820668886880 in words is "eight hundred twenty billion, six hundred sixty-eight million, eight hundred eighty-six thousand, eight hundred eighty".