9916867584000 has 2240 divisors, whose sum is σ = 42237988464672. Its totient is φ = 2293235712000.

The previous prime is 9916867583993. The next prime is 9916867584037. The reversal of 9916867584000 is 4857686199.

9916867584000 is a `hidden beast` number, since 9 + 9 + 168 + 67 + 5 + 8 + 400 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 935290146816 + 8981577437184 = 967104^2 + 2996928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18330623730 + ... + 18330624270.

Almost surely, 2^{9916867584000} is an apocalyptic number.

9916867584000 is a gapful number since it is divisible by the number (90) 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 9916867584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118994232336).

9916867584000 is an abundant number, since it is smaller than the sum of its proper divisors (32321120880672).

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

9916867584000 is a wasteful number, since it uses less digits than its factorization.

9916867584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 9916867584000 in words is "nine trillion, nine hundred sixteen billion, eight hundred sixty-seven million, five hundred eighty-four thousand".