216301670030800 has 240 divisors, whose sum is σ = 544301203921920. Its totient is φ = 82502171136000.

The previous prime is 216301670030777. The next prime is 216301670030861. The reversal of 216301670030800 is 8030076103612.

It is a super-2 number, since 2×216301670030800² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216301670030800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1525662316 + ... + 1525804084.

It is an arithmetic number, because the mean of its divisors is an integer number (2267921683008).

Almost surely, 2^{216301670030800} is an apocalyptic number.

216301670030800 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 216301670030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272150601960960).

216301670030800 is an abundant number, since it is smaller than the sum of its proper divisors (327999533891120).

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

216301670030800 is a wasteful number, since it uses less digits than its factorization.

216301670030800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143622 (or 143611 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 216301670030800 in words is "two hundred sixteen trillion, three hundred one billion, six hundred seventy million, thirty thousand, eight hundred".