5456182875264 has 1024 divisors, whose sum is σ = 18503589888000. Its totient is φ = 1568238796800.

The previous prime is 5456182875239. The next prime is 5456182875271. The reversal of 5456182875264 is 4625782816545.

It is a happy number.

5456182875264 is a `hidden beast` number, since 5 + 4 + 5 + 618 + 2 + 8 + 7 + 5 + 2 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8988768849 + ... + 8988769455.

It is an arithmetic number, because the mean of its divisors is an integer number (18069912000).

Almost surely, 2^{5456182875264} is an apocalyptic number.

5456182875264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456182875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9251794944000).

5456182875264 is an abundant number, since it is smaller than the sum of its proper divisors (13047407012736).

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

5456182875264 is a wasteful number, since it uses less digits than its factorization.

5456182875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 5456182875264 in words is "five trillion, four hundred fifty-six billion, one hundred eighty-two million, eight hundred seventy-five thousand, two hundred sixty-four".