9966870650880 has 3584 divisors, whose sum is σ = 45658084147200. Its totient is φ = 2025691545600.

The previous prime is 9966870650851. The next prime is 9966870650881. The reversal of 9966870650880 is 880560786699.

It is a happy number.

It is a super-2 number, since 2×9966870650880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9966870650799 and 9966870650808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966870650881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93148323787 + ... + 93148323893.

It is an arithmetic number, because the mean of its divisors is an integer number (12739420800).

Almost surely, 2^{9966870650880} is an apocalyptic number.

9966870650880 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 9966870650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22829042073600).

9966870650880 is an abundant number, since it is smaller than the sum of its proper divisors (35691213496320).

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

9966870650880 is a wasteful number, since it uses less digits than its factorization.

9966870650880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 9966870650880 in words is "nine trillion, nine hundred sixty-six billion, eight hundred seventy million, six hundred fifty thousand, eight hundred eighty".