16068978730800 has 480 divisors, whose sum is σ = 58054505107200. Its totient is φ = 4221031772160.

The previous prime is 16068978730793. The next prime is 16068978730801. The reversal of 16068978730800 is 803787986061.

16068978730800 is a `hidden beast` number, since 160 + 6 + 8 + 97 + 87 + 308 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (16068978730801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 198884811 + ... + 198965589.

It is an arithmetic number, because the mean of its divisors is an integer number (120946885640).

Almost surely, 2^{16068978730800} is an apocalyptic number.

16068978730800 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 16068978730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29027252553600).

16068978730800 is an abundant number, since it is smaller than the sum of its proper divisors (41985526376400).

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

16068978730800 is a wasteful number, since it uses less digits than its factorization.

16068978730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81082 (or 81065 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 16068978730800 in words is "sixteen trillion, sixty-eight billion, nine hundred seventy-eight million, seven hundred thirty thousand, eight hundred".