216599981760 has 336 divisors, whose sum is σ = 785289828960. Its totient is φ = 54645719040.

The previous prime is 216599981747. The next prime is 216599981761. The reversal of 216599981760 is 67189995612.

216599981760 is a `hidden beast` number, since 21 + 6 + 599 + 9 + 8 + 17 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (216599981761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48206074 + ... + 48210566.

It is an arithmetic number, because the mean of its divisors is an integer number (2337172110).

Almost surely, 2^216599981760 is an apocalyptic number.

216599981760 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 216599981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392644914480).

216599981760 is an abundant number, since it is smaller than the sum of its proper divisors (568689847200).

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

216599981760 is a wasteful number, since it uses less digits than its factorization.

216599981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 216599981760 in words is "two hundred sixteen billion, five hundred ninety-nine million, nine hundred eighty-one thousand, seven hundred sixty".