1082221084160 has 160 divisors (see below), whose sum is σ = 2647373414400. Its totient is φ = 424164597760.

The previous prime is 1082221084129. The next prime is 1082221084211. The reversal of 1082221084160 is 614801222801.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1082221084160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46961921 + ... + 46984959.

It is an arithmetic number, because the mean of its divisors is an integer number (16546083840).

Almost surely, 2^{1082221084160} is an apocalyptic number.

1082221084160 is a gapful number since it is divisible by the number (10) 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 1082221084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323686707200).

1082221084160 is an abundant number, since it is smaller than the sum of its proper divisors (1565152330240).

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

1082221084160 is an equidigital number, since it uses as much as digits as its factorization.

1082221084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23432 (or 23416 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 1082221084160 in words is "one trillion, eighty-two billion, two hundred twenty-one million, eighty-four thousand, one hundred sixty".