5963248488960 has 1920 divisors, whose sum is σ = 26564737605120. Its totient is φ = 1204543291392.

The previous prime is 5963248488937. The next prime is 5963248489013. The reversal of 5963248488960 is 698848423695.

It is a happy number.

5963248488960 is a `hidden beast` number, since 5 + 9 + 6 + 3 + 2 + 484 + 8 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2941907467 + ... + 2941909493.

It is an arithmetic number, because the mean of its divisors is an integer number (13835800836).

Almost surely, 2^{5963248488960} 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 5963248488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282368802560).

5963248488960 is an abundant number, since it is smaller than the sum of its proper divisors (20601489116160).

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

5963248488960 is a wasteful number, since it uses less digits than its factorization.

5963248488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 5963248488960 in words is "five trillion, nine hundred sixty-three billion, two hundred forty-eight million, four hundred eighty-eight thousand, nine hundred sixty".