112282559568400 has 360 divisors, whose sum is σ = 309370423489920. Its totient is φ = 39009115791360.

The previous prime is 112282559568343. The next prime is 112282559568427. The reversal of 112282559568400 is 4865955282211.

112282559568400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5266772941 + ... + 5266794259.

It is an arithmetic number, because the mean of its divisors is an integer number (859362287472).

Almost surely, 2^{112282559568400} is an apocalyptic number.

112282559568400 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 112282559568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154685211744960).

112282559568400 is an abundant number, since it is smaller than the sum of its proper divisors (197087863921520).

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

112282559568400 is a wasteful number, since it uses less digits than its factorization.

112282559568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25963 (or 25939 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 58.

The spelling of 112282559568400 in words is "one hundred twelve trillion, two hundred eighty-two billion, five hundred fifty-nine million, five hundred sixty-eight thousand, four hundred".