9966017610000 has 675 divisors, whose sum is σ = 37083261667881. Its totient is φ = 2497234176000.

The previous prime is 9966017609993. The next prime is 9966017610001. The reversal of 9966017610000 is 167106699.

The square root of 9966017610000 is 3156900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4866947805456 + 5099069804544 = 2206116^2 + 2258112^2 .

It is a super-2 number, since 2×9966017610000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9966017610001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16100189691 + ... + 16100190309.

Almost surely, 2^{9966017610000} is an apocalyptic number.

9966017610000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9966017610000 is the 3156900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966017610000

9966017610000 is an abundant number, since it is smaller than the sum of its proper divisors (27117244057881).

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

9966017610000 is an equidigital number, since it uses as much as digits as its factorization.

9966017610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 9966017610000 in words is "nine trillion, nine hundred sixty-six billion, seventeen million, six hundred ten thousand".