216465525964800 has 4320 divisors, whose sum is σ = 998157668508000. Its totient is φ = 46231631953920.

The previous prime is 216465525964771. The next prime is 216465525964813. The reversal of 216465525964800 is 8469525564612.

216465525964800 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 65 + 5 + 2 + 5 + 96 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2965281177564 + ... + 2965281177636.

Almost surely, 2^{216465525964800} is an apocalyptic number.

216465525964800 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 216465525964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499078834254000).

216465525964800 is an abundant number, since it is smaller than the sum of its proper divisors (781692142543200).

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

216465525964800 is an frugal number, since it uses more digits than its factorization.

216465525964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 216465525964800 in words is "two hundred sixteen trillion, four hundred sixty-five billion, five hundred twenty-five million, nine hundred sixty-four thousand, eight hundred".