216204675913800 has 2304 divisors, whose sum is σ = 942858253209600. Its totient is φ = 44955258163200.

The previous prime is 216204675913747. The next prime is 216204675913813. The reversal of 216204675913800 is 8319576402612.

It is a happy number.

216204675913800 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 0 + 46 + 7 + 591 + 3 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 575 ways as a sum of consecutive naturals, for example, 15203190690 + ... + 15203204910.

It is an arithmetic number, because the mean of its divisors is an integer number (409226672400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅216204675913800 = 432409351827600, but 3⋅216204675913800 = 648614027741400 is not.

Almost surely, 2^{216204675913800} is an apocalyptic number.

216204675913800 is a gapful number since it is divisible by the number (20) 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 216204675913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471429126604800).

216204675913800 is an abundant number, since it is smaller than the sum of its proper divisors (726653577295800).

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

216204675913800 is a wasteful number, since it uses less digits than its factorization.

216204675913800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14378 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 216204675913800 in words is "two hundred sixteen trillion, two hundred four billion, six hundred seventy-five million, nine hundred thirteen thousand, eight hundred".