5213968824960 has 768 divisors, whose sum is σ = 22611669264000. Its totient is φ = 1129036382208.

The previous prime is 5213968824947. The next prime is 5213968824989. The reversal of 5213968824960 is 694288693125.

5213968824960 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 9 + 68 + 82 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15925632 + ... + 16249728.

Almost surely, 2^{5213968824960} 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 5213968824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11305834632000).

5213968824960 is an abundant number, since it is smaller than the sum of its proper divisors (17397700439040).

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

5213968824960 is a wasteful number, since it uses less digits than its factorization.

5213968824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324158 (or 324133 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 5213968824960 in words is "five trillion, two hundred thirteen billion, nine hundred sixty-eight million, eight hundred twenty-four thousand, nine hundred sixty".