5430188160 has 480 divisors, whose sum is σ = 20221749900. Its totient is φ = 1388482560.

The previous prime is 5430188131. The next prime is 5430188177. The reversal of 5430188160 is 618810345.

It can be written as a sum of positive squares in 2 ways, for example, as 5425206336 + 4981824 = 73656^2 + 2232^2 .

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49818186 + ... + 49818294.

Almost surely, 2^5430188160 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 5430188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110874950).

5430188160 is an abundant number, since it is smaller than the sum of its proper divisors (14791561740).

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

5430188160 is a wasteful number, since it uses less digits than its factorization.

5430188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5430188160 is about 73689.8104217944. The cubic root of 5430188160 is about 1757.6738553262.

The spelling of 5430188160 in words is "five billion, four hundred thirty million, one hundred eighty-eight thousand, one hundred sixty".