216600653568 has 216 divisors, whose sum is σ = 637528243968. Its totient is φ = 65226510336.

The previous prime is 216600653551. The next prime is 216600653569. The reversal of 216600653568 is 865356006612.

216600653568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216600653568² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216600653569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6082471 + ... + 6117977.

It is an arithmetic number, because the mean of its divisors is an integer number (2951519648).

Almost surely, 2^216600653568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216600653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318764121984).

216600653568 is an abundant number, since it is smaller than the sum of its proper divisors (420927590400).

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

216600653568 is a wasteful number, since it uses less digits than its factorization.

216600653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35599 (or 35572 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 216600653568 in words is "two hundred sixteen billion, six hundred million, six hundred fifty-three thousand, five hundred sixty-eight".