216366015521600 has 168 divisors, whose sum is σ = 608475628400640. Its totient is φ = 74179770808320.

The previous prime is 216366015521543. The next prime is 216366015521639. The reversal of 216366015521600 is 6125510663612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300685442 + ... + 301404158.

It is an arithmetic number, because the mean of its divisors is an integer number (3621878740480).

Almost surely, 2^{216366015521600} is an apocalyptic number.

216366015521600 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 216366015521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304237814200320).

216366015521600 is an abundant number, since it is smaller than the sum of its proper divisors (392109612879040).

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

216366015521600 is a wasteful number, since it uses less digits than its factorization.

216366015521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745625 (or 745610 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 216366015521600 in words is "two hundred sixteen trillion, three hundred sixty-six billion, fifteen million, five hundred twenty-one thousand, six hundred".