9966214161600 has 672 divisors, whose sum is σ = 34573537152000. Its totient is φ = 2508372049920.

The previous prime is 9966214161593. The next prime is 9966214161619. The reversal of 9966214161600 is 61614126699.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7555885741 + ... + 7555887059.

It is an arithmetic number, because the mean of its divisors is an integer number (51448716000).

Almost surely, 2^{9966214161600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966214161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286768576000).

9966214161600 is an abundant number, since it is smaller than the sum of its proper divisors (24607322990400).

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

9966214161600 is a wasteful number, since it uses less digits than its factorization.

9966214161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 9966214161600 in words is "nine trillion, nine hundred sixty-six billion, two hundred fourteen million, one hundred sixty-one thousand, six hundred".