216984434201600 has 528 divisors, whose sum is σ = 588572914339200. Its totient is φ = 78828225822720.

The previous prime is 216984434201537. The next prime is 216984434201617. The reversal of 216984434201600 is 6102434489612.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20491489106 + ... + 20491499694.

Almost surely, 2^{216984434201600} is an apocalyptic number.

216984434201600 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 216984434201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294286457169600).

216984434201600 is an abundant number, since it is smaller than the sum of its proper divisors (371588480137600).

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

216984434201600 is a wasteful number, since it uses less digits than its factorization.

216984434201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 216984434201600 in words is "two hundred sixteen trillion, nine hundred eighty-four billion, four hundred thirty-four million, two hundred one thousand, six hundred".