5317008480 has 960 divisors, whose sum is σ = 23183677440. Its totient is φ = 1121734656.

The previous prime is 5317008461. The next prime is 5317008503. The reversal of 5317008480 is 848007135.

5317008480 is a `hidden beast` number, since 5 + 3 + 170 + 0 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 113127817 + ... + 113127863.

It is an arithmetic number, because the mean of its divisors is an integer number (24149664).

Almost surely, 2^5317008480 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 5317008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11591838720).

5317008480 is an abundant number, since it is smaller than the sum of its proper divisors (17866668960).

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

5317008480 is a wasteful number, since it uses less digits than its factorization.

5317008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5317008480 is about 72917.8200442114. The cubic root of 5317008480 is about 1745.3764734256.

The spelling of 5317008480 in words is "five billion, three hundred seventeen million, eight thousand, four hundred eighty".