5957564716752 has 320 divisors, whose sum is σ = 17454589501440. Its totient is φ = 1734670080000.

The previous prime is 5957564716709. The next prime is 5957564716759. The reversal of 5957564716752 is 2576174657595.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5957564716759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2544879102 + ... + 2544881442.

It is an arithmetic number, because the mean of its divisors is an integer number (54545592192).

Almost surely, 2^{5957564716752} 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 5957564716752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727294750720).

5957564716752 is an abundant number, since it is smaller than the sum of its proper divisors (11497024784688).

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

5957564716752 is a wasteful number, since it uses less digits than its factorization.

5957564716752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3428 counting only the distinct ones).

The product of its digits is 555660000, while the sum is 69.

The spelling of 5957564716752 in words is "five trillion, nine hundred fifty-seven billion, five hundred sixty-four million, seven hundred sixteen thousand, seven hundred fifty-two".