882020222020288 has 112 divisors (see below), whose sum is σ = 1899402552764640. Its totient is φ = 403953231052800.

The previous prime is 882020222020187. The next prime is 882020222020309.

882020222020288 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783842858 + ... + 1784337238.

It is an arithmetic number, because the mean of its divisors is an integer number (16958951363970).

Almost surely, 2^{882020222020288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882020222020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949701276382320).

882020222020288 is an abundant number, since it is smaller than the sum of its proper divisors (1017382330744352).

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

882020222020288 is a wasteful number, since it uses less digits than its factorization.

882020222020288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510906 (or 510896 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 46.

The spelling of 882020222020288 in words is "eight hundred eighty-two trillion, twenty billion, two hundred twenty-two million, twenty thousand, two hundred eighty-eight".