16682215828200 has 192 divisors, whose sum is σ = 55777464388800. Its totient is φ = 4100159078400.

The previous prime is 16682215828199. The next prime is 16682215828217. The reversal of 16682215828200 is 282851228661.

It is a super-2 number, since 2×16682215828200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3517480 + ... + 6762920.

It is an arithmetic number, because the mean of its divisors is an integer number (290507627025).

Almost surely, 2^{16682215828200} is an apocalyptic number.

16682215828200 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 16682215828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27888732194400).

16682215828200 is an abundant number, since it is smaller than the sum of its proper divisors (39095248560600).

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

16682215828200 is a wasteful number, since it uses less digits than its factorization.

16682215828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246132 (or 3246123 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 16682215828200 in words is "sixteen trillion, six hundred eighty-two billion, two hundred fifteen million, eight hundred twenty-eight thousand, two hundred".