216448828800 has 192 divisors, whose sum is σ = 714110759760. Its totient is φ = 57623961600.

The previous prime is 216448828759. The next prime is 216448828801. The reversal of 216448828800 is 8828844612.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216448828801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5866410 + ... + 5903190.

Almost surely, 2^216448828800 is an apocalyptic number.

216448828800 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 216448828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357055379880).

216448828800 is an abundant number, since it is smaller than the sum of its proper divisors (497661930960).

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

216448828800 is a wasteful number, since it uses less digits than its factorization.

216448828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37421 (or 37404 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 216448828800 in words is "two hundred sixteen billion, four hundred forty-eight million, eight hundred twenty-eight thousand, eight hundred".