882211112288 has 144 divisors (see below), whose sum is σ = 1936620841680. Its totient is φ = 395260800000.

The previous prime is 882211112269. The next prime is 882211112327.

882211112288 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome 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 23 ways as a sum of consecutive naturals, for example, 89550563 + ... + 89560413.

It is an arithmetic number, because the mean of its divisors is an integer number (13448755845).

Almost surely, 2^882211112288 is an apocalyptic number.

882211112288 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 882211112288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968310420840).

882211112288 is an abundant number, since it is smaller than the sum of its proper divisors (1054409729392).

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

882211112288 is a wasteful number, since it uses less digits than its factorization.

882211112288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10213 (or 10194 counting only the distinct ones).

The product of its digits is 65536, while the sum is 44.

It can be divided in two parts, 882211 and 112288, that added together give a palindrome (994499).

The spelling of 882211112288 in words is "eight hundred eighty-two billion, two hundred eleven million, one hundred twelve thousand, two hundred eighty-eight".