853646028928 has 256 divisors, whose sum is σ = 2220825600000. Its totient is φ = 316923678720.

The previous prime is 853646028923. The next prime is 853646028931. The reversal of 853646028928 is 829820646358.

It is not an unprimeable number, because it can be changed into a prime (853646028923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60972073 + ... + 60986071.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100000).

Almost surely, 2^853646028928 is an apocalyptic number.

853646028928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853646028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110412800000).

853646028928 is an abundant number, since it is smaller than the sum of its proper divisors (1367179571072).

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

853646028928 is a wasteful number, since it uses less digits than its factorization.

853646028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323 (or 14311 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 853646028928 in words is "eight hundred fifty-three billion, six hundred forty-six million, twenty-eight thousand, nine hundred twenty-eight".