110728805812800 has 2016 divisors, whose sum is σ = 455240621485440. Its totient is φ = 23446241280000.

The previous prime is 110728805812799. The next prime is 110728805812811. The reversal of 110728805812800 is 8218508827011.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17058817555 + ... + 17058824045.

It is an arithmetic number, because the mean of its divisors is an integer number (225813800340).

Almost surely, 2^{110728805812800} is an apocalyptic number.

110728805812800 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 110728805812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227620310742720).

110728805812800 is an abundant number, since it is smaller than the sum of its proper divisors (344511815672640).

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

110728805812800 is a wasteful number, since it uses less digits than its factorization.

110728805812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6661 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 51.

The spelling of 110728805812800 in words is "one hundred ten trillion, seven hundred twenty-eight billion, eight hundred five million, eight hundred twelve thousand, eight hundred".