16228812600 has 576 divisors, whose sum is σ = 73185315840. Its totient is φ = 3112473600.

The previous prime is 16228812599. The next prime is 16228812619. The reversal of 16228812600 is 621882261.

16228812600 is a `hidden beast` number, since 1 + 622 + 8 + 8 + 1 + 26 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1797297 + ... + 1806303.

It is an arithmetic number, because the mean of its divisors is an integer number (127057840).

Almost surely, 2^16228812600 is an apocalyptic number.

16228812600 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 16228812600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36592657920).

16228812600 is an abundant number, since it is smaller than the sum of its proper divisors (56956503240).

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

16228812600 is a wasteful number, since it uses less digits than its factorization.

16228812600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 16228 and 812600, that added together give a palindrome (828828).

The spelling of 16228812600 in words is "sixteen billion, two hundred twenty-eight million, eight hundred twelve thousand, six hundred".