882816234926080 has 1664 divisors, whose sum is σ = 2754182226216960. Its totient is φ = 264190946181120.

The previous prime is 882816234926027. The next prime is 882816234926099. The reversal of 882816234926080 is 80629432618288.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a junction number, because it is equal to n+sod(n) for n = 882816234925997 and 882816234926015.

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 127 ways as a sum of consecutive naturals, for example, 456707828794 + ... + 456707830726.

Almost surely, 2^{882816234926080} is an apocalyptic number.

882816234926080 is a gapful number since it is divisible by the number (80) 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 882816234926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377091113108480).

882816234926080 is an abundant number, since it is smaller than the sum of its proper divisors (1871365991290880).

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

882816234926080 is a wasteful number, since it uses less digits than its factorization.

882816234926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 67.

The spelling of 882816234926080 in words is "eight hundred eighty-two trillion, eight hundred sixteen billion, two hundred thirty-four million, nine hundred twenty-six thousand, eighty".