5382304368480 has 480 divisors, whose sum is σ = 20463904226304. Its totient is φ = 1324376469504.

The previous prime is 5382304368473. The next prime is 5382304368503. The reversal of 5382304368480 is 848634032835.

5382304368480 is a `hidden beast` number, since 5 + 3 + 8 + 230 + 4 + 368 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 668356134 + ... + 668364186.

Almost surely, 2^{5382304368480} 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 5382304368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231952113152).

5382304368480 is an abundant number, since it is smaller than the sum of its proper divisors (15081599857824).

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

5382304368480 is a wasteful number, since it uses less digits than its factorization.

5382304368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12060 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 5382304368480 in words is "five trillion, three hundred eighty-two billion, three hundred four million, three hundred sixty-eight thousand, four hundred eighty".