216330004800 has 2520 divisors, whose sum is σ = 1054492883136. Its totient is φ = 42440785920.

The previous prime is 216330004777. The next prime is 216330004801. The reversal of 216330004800 is 8400033612.

It is a happy number.

216330004800 is a `hidden beast` number, since 21 + 633 + 0 + 0 + 0 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216330004801) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 2606385559 + ... + 2606385641.

Almost surely, 2^216330004800 is an apocalyptic number.

216330004800 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 216330004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527246441568).

216330004800 is an abundant number, since it is smaller than the sum of its proper divisors (838162878336).

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

216330004800 is a wasteful number, since it uses less digits than its factorization.

216330004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 216330004800 in words is "two hundred sixteen billion, three hundred thirty million, four thousand, eight hundred".