216621360000 has 960 divisors, whose sum is σ = 827159224320. Its totient is φ = 54286848000.

The previous prime is 216621359989. The next prime is 216621360071. The reversal of 216621360000 is 63126612.

216621360000 is a `hidden beast` number, since 2 + 1 + 6 + 621 + 36 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1705679937 + ... + 1705680063.

It is an arithmetic number, because the mean of its divisors is an integer number (861624192).

Almost surely, 2^216621360000 is an apocalyptic number.

216621360000 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 216621360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413579612160).

216621360000 is an abundant number, since it is smaller than the sum of its proper divisors (610537864320).

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

216621360000 is a wasteful number, since it uses less digits than its factorization.

216621360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 216621360000 its reverse (63126612), we get a palindrome (216684486612).

The spelling of 216621360000 in words is "two hundred sixteen billion, six hundred twenty-one million, three hundred sixty thousand".