9768248160000 has 1080 divisors, whose sum is σ = 36044315526912. Its totient is φ = 2328345600000.

The previous prime is 9768248159993. The next prime is 9768248160001. The reversal of 9768248160000 is 618428679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9768248160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26616479817 + ... + 26616480183.

Almost surely, 2^{9768248160000} 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 9768248160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18022157763456).

9768248160000 is an abundant number, since it is smaller than the sum of its proper divisors (26276067366912).

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

9768248160000 is an equidigital number, since it uses as much as digits as its factorization.

9768248160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 9768248160000 in words is "nine trillion, seven hundred sixty-eight billion, two hundred forty-eight million, one hundred sixty thousand".