5382104000 has 224 divisors, whose sum is σ = 16406871936. Its totient is φ = 1703116800.

The previous prime is 5382103981. The next prime is 5382104003. The reversal of 5382104000 is 4012835.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382104003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724304 + ... + 731696.

It is an arithmetic number, because the mean of its divisors is an integer number (73244964).

Almost surely, 2^5382104000 is an apocalyptic number.

5382104000 is a gapful number since it is divisible by the number (50) 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 5382104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203435968).

5382104000 is an abundant number, since it is smaller than the sum of its proper divisors (11024767936).

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

5382104000 is a wasteful number, since it uses less digits than its factorization.

5382104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5382104000 is about 73362.8243731115. The cubic root of 5382104000 is about 1752.4704157187.

Adding to 5382104000 its reverse (4012835), we get a palindrome (5386116835).

The spelling of 5382104000 in words is "five billion, three hundred eighty-two million, one hundred four thousand".