5331106585728 has 640 divisors, whose sum is σ = 19815213306240. Its totient is φ = 1382245171200.

The previous prime is 5331106585723. The next prime is 5331106585787. The reversal of 5331106585728 is 8275856011335.

5331106585728 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 1 + 0 + 65 + 8 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5331106585723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 473407618 + ... + 473418878.

It is an arithmetic number, because the mean of its divisors is an integer number (30961270791).

Almost surely, 2^{5331106585728} 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 5331106585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907606653120).

5331106585728 is an abundant number, since it is smaller than the sum of its proper divisors (14484106720512).

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

5331106585728 is a wasteful number, since it uses less digits than its factorization.

5331106585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11898 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5331106585728 in words is "five trillion, three hundred thirty-one billion, one hundred six million, five hundred eighty-five thousand, seven hundred twenty-eight".