1080823660224 has 336 divisors, whose sum is σ = 3600432589824. Its totient is φ = 280099860480.

The previous prime is 1080823660211. The next prime is 1080823660247. The reversal of 1080823660224 is 4220663280801.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74311897 + ... + 74326439.

It is an arithmetic number, because the mean of its divisors is an integer number (10715573184).

Almost surely, 2^{1080823660224} is an apocalyptic number.

1080823660224 is a gapful number since it is divisible by the number (14) 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 1080823660224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800216294912).

1080823660224 is an abundant number, since it is smaller than the sum of its proper divisors (2519608929600).

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

1080823660224 is a wasteful number, since it uses less digits than its factorization.

1080823660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15044 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 1080823660224 in words is "one trillion, eighty billion, eight hundred twenty-three million, six hundred sixty thousand, two hundred twenty-four".