16200406800 has 180 divisors, whose sum is σ = 56274718500. Its totient is φ = 4315898880.

The previous prime is 16200406757. The next prime is 16200406801. The reversal of 16200406800 is 860400261.

16200406800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6145932816 + 10054473984 = 78396^2 + 100272^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16200406801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5891826 + ... + 5894574.

It is an arithmetic number, because the mean of its divisors is an integer number (312637325).

Almost surely, 2^16200406800 is an apocalyptic number.

16200406800 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 16200406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28137359250).

16200406800 is an abundant number, since it is smaller than the sum of its proper divisors (40074311700).

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

16200406800 is a wasteful number, since it uses less digits than its factorization.

16200406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 16200406800 in words is "sixteen billion, two hundred million, four hundred six thousand, eight hundred".