216065829339360 has 6912 divisors, whose sum is σ = 1090757343836160. Its totient is φ = 38988590284800.

The previous prime is 216065829339359. The next prime is 216065829339361. The reversal of 216065829339360 is 63933928560612.

216065829339360 is a `hidden beast` number, since 2 + 16 + 0 + 6 + 582 + 9 + 3 + 3 + 9 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216065829339359) and next prime (216065829339361).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216065829339361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1982255314986 + ... + 1982255315094.

It is an arithmetic number, because the mean of its divisors is an integer number (157806328680).

Almost surely, 2^{216065829339360} is an apocalyptic number.

216065829339360 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 216065829339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545378671918080).

216065829339360 is an abundant number, since it is smaller than the sum of its proper divisors (874691514496800).

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

216065829339360 is a wasteful number, since it uses less digits than its factorization.

216065829339360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 216065829339360 in words is "two hundred sixteen trillion, sixty-five billion, eight hundred twenty-nine million, three hundred thirty-nine thousand, three hundred sixty".