1105608512320 has 168 divisors, whose sum is σ = 2929668498792. Its totient is φ = 395054714880.

The previous prime is 1105608512237. The next prime is 1105608512423. The reversal of 1105608512320 is 232158065011.

It can be written as a sum of positive squares in 4 ways, for example, as 42779476224 + 1062829036096 = 206832^2 + 1030936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3859482 + ... + 4136038.

It is an arithmetic number, because the mean of its divisors is an integer number (17438502969).

Almost surely, 2^{1105608512320} is an apocalyptic number.

1105608512320 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 1105608512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464834249396).

1105608512320 is an abundant number, since it is smaller than the sum of its proper divisors (1824059986472).

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

1105608512320 is a wasteful number, since it uses less digits than its factorization.

1105608512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276649 (or 276608 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 1105608512320 in words is "one trillion, one hundred five billion, six hundred eight million, five hundred twelve thousand, three hundred twenty".