821273372128 has 24 divisors (see below), whose sum is σ = 1763871220440. Its totient is φ = 373306078080.

The previous prime is 821273372111. The next prime is 821273372141.

It is a happy number.

821273372128 is nontrivially palindromic in base 10.

It is a congruent number.

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 in 3 ways as a sum of consecutive naturals, for example, 1166581143 + ... + 1166581846.

It is an arithmetic number, because the mean of its divisors is an integer number (73494634185).

Almost surely, 2^821273372128 is an apocalyptic number.

821273372128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

821273372128 is an abundant number, since it is smaller than the sum of its proper divisors (942597848312).

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

821273372128 is a wasteful number, since it uses less digits than its factorization.

821273372128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333163010 (or 2333163002 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The spelling of 821273372128 in words is "eight hundred twenty-one billion, two hundred seventy-three million, three hundred seventy-two thousand, one hundred twenty-eight".