216371865600 has 2016 divisors, whose sum is σ = 959046117120. Its totient is φ = 47775744000.

The previous prime is 216371865581. The next prime is 216371865641. The reversal of 216371865600 is 6568173612.

216371865600 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 7 + 1 + 86 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6979737585 + ... + 6979737615.

It is an arithmetic number, because the mean of its divisors is an integer number (475717320).

Almost surely, 2^216371865600 is an apocalyptic number.

216371865600 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 216371865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479523058560).

216371865600 is an abundant number, since it is smaller than the sum of its proper divisors (742674251520).

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

216371865600 is a wasteful number, since it uses less digits than its factorization.

216371865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

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

The spelling of 216371865600 in words is "two hundred sixteen billion, three hundred seventy-one million, eight hundred sixty-five thousand, six hundred".