16506228499200 has 1296 divisors, whose sum is σ = 68468280937056. Its totient is φ = 3749393203200.

The previous prime is 16506228499199. The next prime is 16506228499253. The reversal of 16506228499200 is 299482260561.

16506228499200 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 622 + 8 + 4 + 9 + 9 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2509686312 + ... + 2509692888.

It is an arithmetic number, because the mean of its divisors is an integer number (52830463686).

Almost surely, 2^{16506228499200} is an apocalyptic number.

16506228499200 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 16506228499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34234140468528).

16506228499200 is an abundant number, since it is smaller than the sum of its proper divisors (51962052437856).

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

16506228499200 is a wasteful number, since it uses less digits than its factorization.

16506228499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16506228499200 in words is "sixteen trillion, five hundred six billion, two hundred twenty-eight million, four hundred ninety-nine thousand, two hundred".