9916591770720 has 288 divisors, whose sum is σ = 34943029115904. Its totient is φ = 2558312064000.

The previous prime is 9916591770697. The next prime is 9916591770763. The reversal of 9916591770720 is 270771956199.

9916591770720 is a `hidden beast` number, since 9 + 9 + 16 + 591 + 7 + 7 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9916591770720² (a number of 27 digits) contains 22 as substring.

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, 148305295 + ... + 148372145.

It is an arithmetic number, because the mean of its divisors is an integer number (121329962208).

Almost surely, 2^{9916591770720} is an apocalyptic number.

9916591770720 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 9916591770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471514557952).

9916591770720 is an abundant number, since it is smaller than the sum of its proper divisors (25026437345184).

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

9916591770720 is a wasteful number, since it uses less digits than its factorization.

9916591770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70226 (or 70215 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 63.

The spelling of 9916591770720 in words is "nine trillion, nine hundred sixteen billion, five hundred ninety-one million, seven hundred seventy thousand, seven hundred twenty".