9960572196288 has 224 divisors, whose sum is σ = 33468078758400. Its totient is φ = 2845651212288.

The previous prime is 9960572196269. The next prime is 9960572196371. The reversal of 9960572196288 is 8826912750699.

9960572196288 is a `hidden beast` number, since 9 + 9 + 605 + 7 + 2 + 1 + 9 + 6 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 204845643 + ... + 204894261.

Almost surely, 2^{9960572196288} 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 9960572196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734039379200).

9960572196288 is an abundant number, since it is smaller than the sum of its proper divisors (23507506562112).

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

9960572196288 is a wasteful number, since it uses less digits than its factorization.

9960572196288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65584 (or 65568 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 9960572196288 in words is "nine trillion, nine hundred sixty billion, five hundred seventy-two million, one hundred ninety-six thousand, two hundred eighty-eight".