216580914924920 has 256 divisors, whose sum is σ = 601208797271040. Its totient is φ = 68379134128128.

The previous prime is 216580914924883. The next prime is 216580914924929. The reversal of 216580914924920 is 29429419085612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216580914924929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3965421452 + ... + 3965476068.

It is an arithmetic number, because the mean of its divisors is an integer number (2348471864340).

Almost surely, 2^{216580914924920} is an apocalyptic number.

216580914924920 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 216580914924920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300604398635520).

216580914924920 is an abundant number, since it is smaller than the sum of its proper divisors (384627882346120).

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

216580914924920 is a wasteful number, since it uses less digits than its factorization.

216580914924920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57254 (or 57250 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 62.

The spelling of 216580914924920 in words is "two hundred sixteen trillion, five hundred eighty billion, nine hundred fourteen million, nine hundred twenty-four thousand, nine hundred twenty".