5132608320 has 448 divisors, whose sum is σ = 19955865600. Its totient is φ = 1091543040.

The previous prime is 5132608307. The next prime is 5132608321. The reversal of 5132608320 is 238062315.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5132608321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7788151 + ... + 7788809.

Almost surely, 2^5132608320 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 5132608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9977932800).

5132608320 is an abundant number, since it is smaller than the sum of its proper divisors (14823257280).

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

5132608320 is a wasteful number, since it uses less digits than its factorization.

5132608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5132608320 is about 71642.2244210773. The cubic root of 5132608320 is about 1724.9613736362.

The spelling of 5132608320 in words is "five billion, one hundred thirty-two million, six hundred eight thousand, three hundred twenty".