216408024000 has 2016 divisors, whose sum is σ = 998245847040. Its totient is φ = 45349632000.

The previous prime is 216408023999. The next prime is 216408024013. The reversal of 216408024000 is 420804612.

216408024000 is a `hidden beast` number, since 2 + 16 + 408 + 0 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6980903985 + ... + 6980904015.

Almost surely, 2^216408024000 is an apocalyptic number.

216408024000 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 216408024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499122923520).

216408024000 is an abundant number, since it is smaller than the sum of its proper divisors (781837823040).

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

216408024000 is an frugal number, since it uses more digits than its factorization.

216408024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 216408024000 its reverse (420804612), we get a palindrome (216828828612).

The spelling of 216408024000 in words is "two hundred sixteen billion, four hundred eight million, twenty-four thousand".