821078870128 has 40 divisors (see below), whose sum is σ = 1735536637296. Its totient is φ = 373201651200.

The previous prime is 821078870119. The next prime is 821078870179.

821078870128 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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4651450 + ... + 4824742.

Almost surely, 2^821078870128 is an apocalyptic number.

821078870128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

821078870128 is an abundant number, since it is smaller than the sum of its proper divisors (914457767168).

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

821078870128 is a wasteful number, since it uses less digits than its factorization.

821078870128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200233 (or 200227 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 52.

The spelling of 821078870128 in words is "eight hundred twenty-one billion, seventy-eight million, eight hundred seventy thousand, one hundred twenty-eight".