5138484480 has 360 divisors, whose sum is σ = 19031581800. Its totient is φ = 1322237952.

The previous prime is 5138484457. The next prime is 5138484503. The reversal of 5138484480 is 844848315.

5138484480 is a `hidden beast` number, since 5 + 13 + 84 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5138484457) and next prime (5138484503).

It can be written as a sum of positive squares in 4 ways, for example, as 139428864 + 4999055616 = 11808^2 + 70704^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3005866 + ... + 3007574.

It is an arithmetic number, because the mean of its divisors is an integer number (52865505).

Almost surely, 2^5138484480 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 5138484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515790900).

5138484480 is an abundant number, since it is smaller than the sum of its proper divisors (13893097320).

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

5138484480 is a wasteful number, since it uses less digits than its factorization.

5138484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 5138484480 is about 71683.2231418203. The cubic root of 5138484480 is about 1725.6194070484.

The spelling of 5138484480 in words is "five billion, one hundred thirty-eight million, four hundred eighty-four thousand, four hundred eighty".