882216437760 has 672 divisors, whose sum is σ = 3627359910720. Its totient is φ = 201637527552.

The previous prime is 882216437737. The next prime is 882216437789. The reversal of 882216437760 is 67734612288.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 882216437697 and 882216437706.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 52246279 + ... + 52263161.

It is an arithmetic number, because the mean of its divisors is an integer number (5397857010).

Almost surely, 2^882216437760 is an apocalyptic number.

882216437760 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 882216437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813679955360).

882216437760 is an abundant number, since it is smaller than the sum of its proper divisors (2745143472960).

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

882216437760 is an equidigital number, since it uses as much as digits as its factorization.

882216437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16900 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 882216437760 in words is "eight hundred eighty-two billion, two hundred sixteen million, four hundred thirty-seven thousand, seven hundred sixty".