216528301301760 has 4032 divisors, whose sum is σ = 950944351518720. Its totient is φ = 46283229757440.

The previous prime is 216528301301731. The next prime is 216528301301761. The reversal of 216528301301760 is 67103103825612.

It is a happy number.

216528301301760 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 283 + 0 + 1 + 301 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×216528301301760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (216528301301761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2740864573401 + ... + 2740864573479.

Almost surely, 2^{216528301301760} is an apocalyptic number.

216528301301760 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 216528301301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475472175759360).

216528301301760 is an abundant number, since it is smaller than the sum of its proper divisors (734416050216960).

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

216528301301760 is an frugal number, since it uses more digits than its factorization.

216528301301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 216528301301760 in words is "two hundred sixteen trillion, five hundred twenty-eight billion, three hundred one million, three hundred one thousand, seven hundred sixty".