16220950200 has 1152 divisors, whose sum is σ = 71495424000. Its totient is φ = 3271726080.

The previous prime is 16220950121. The next prime is 16220950217. The reversal of 16220950200 is 205902261.

16220950200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 345126577 + ... + 345126623.

It is an arithmetic number, because the mean of its divisors is an integer number (62062000).

Almost surely, 2^16220950200 is an apocalyptic number.

16220950200 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 16220950200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712000).

16220950200 is an abundant number, since it is smaller than the sum of its proper divisors (55274473800).

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

16220950200 is a wasteful number, since it uses less digits than its factorization.

16220950200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 16220950200 in words is "sixteen billion, two hundred twenty million, nine hundred fifty thousand, two hundred".