5331328625664 has 1056 divisors, whose sum is σ = 17575011417600. Its totient is φ = 1548181831680.

The previous prime is 5331328625663. The next prime is 5331328625681. The reversal of 5331328625664 is 4665268231335.

5331328625664 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 3 + 2 + 8 + 625 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5331328625664.

It is not an unprimeable number, because it can be changed into a prime (5331328625663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13705214782 + ... + 13705215170.

Almost surely, 2^{5331328625664} 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 5331328625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787505708800).

5331328625664 is an abundant number, since it is smaller than the sum of its proper divisors (12243682791936).

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

5331328625664 is a wasteful number, since it uses less digits than its factorization.

5331328625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 5331328625664 in words is "five trillion, three hundred thirty-one billion, three hundred twenty-eight million, six hundred twenty-five thousand, six hundred sixty-four".