9597984960960 has 896 divisors, whose sum is σ = 37801869511680. Its totient is φ = 2291872112640.

The previous prime is 9597984960953. The next prime is 9597984960989. The reversal of 9597984960960 is 690694897959.

9597984960960 is a `hidden beast` number, since 9 + 59 + 79 + 8 + 496 + 0 + 9 + 6 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9597984960960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 770483052 + ... + 770495508.

Almost surely, 2^{9597984960960} is an apocalyptic number.

9597984960960 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 9597984960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900934755840).

9597984960960 is an abundant number, since it is smaller than the sum of its proper divisors (28203884550720).

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

9597984960960 is a wasteful number, since it uses less digits than its factorization.

9597984960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12583 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 2380855680, while the sum is 81.

The spelling of 9597984960960 in words is "nine trillion, five hundred ninety-seven billion, nine hundred eighty-four million, nine hundred sixty thousand, nine hundred sixty".