216970305200 has 240 divisors, whose sum is σ = 582939832320. Its totient is φ = 76938624000.

The previous prime is 216970305197. The next prime is 216970305257. The reversal of 216970305200 is 2503079612.

It is a super-2 number, since 2×216970305200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32965910 + ... + 32972490.

It is an arithmetic number, because the mean of its divisors is an integer number (2428915968).

Almost surely, 2^216970305200 is an apocalyptic number.

216970305200 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 216970305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291469916160).

216970305200 is an abundant number, since it is smaller than the sum of its proper divisors (365969527120).

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

216970305200 is a wasteful number, since it uses less digits than its factorization.

216970305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 6785 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 216970305200 in words is "two hundred sixteen billion, nine hundred seventy million, three hundred five thousand, two hundred".