16000732800 has 288 divisors, whose sum is σ = 61487587980. Its totient is φ = 3938549760.

The previous prime is 16000732793. The next prime is 16000732817. The reversal of 16000732800 is 823700061.

It can be written as a sum of positive squares in 6 ways, for example, as 4609866816 + 11390865984 = 67896^2 + 106728^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 353032 + ... + 395768.

Almost surely, 2^16000732800 is an apocalyptic number.

16000732800 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 16000732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30743793990).

16000732800 is an abundant number, since it is smaller than the sum of its proper divisors (45486855180).

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

16000732800 is a wasteful number, since it uses less digits than its factorization.

16000732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42780 (or 42760 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 16000732800 in words is "sixteen billion, seven hundred thirty-two thousand, eight hundred".