16131672200 has 108 divisors (see below), whose sum is σ = 43663621365. Its totient is φ = 5526548160.

The previous prime is 16131672157. The next prime is 16131672229. The reversal of 16131672200 is 227613161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15809038756 + 322633444 = 125734^2 + 17962^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=89810.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12572759 + ... + 12574041.

Almost surely, 2^16131672200 is an apocalyptic number.

16131672200 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 16131672200

16131672200 is an abundant number, since it is smaller than the sum of its proper divisors (27531949165).

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

16131672200 is an equidigital number, since it uses as much as digits as its factorization.

16131672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 16131672200 in words is "sixteen billion, one hundred thirty-one million, six hundred seventy-two thousand, two hundred".