5120458560 has 336 divisors, whose sum is σ = 20208240000. Its totient is φ = 1165750272.

The previous prime is 5120458477. The next prime is 5120458613. The reversal of 5120458560 is 658540215.

5120458560 is a `hidden beast` number, since 5 + 12 + 0 + 4 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10059586 + ... + 10060094.

Almost surely, 2^5120458560 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 5120458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104120000).

5120458560 is an abundant number, since it is smaller than the sum of its proper divisors (15087781440).

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

5120458560 is a wasteful number, since it uses less digits than its factorization.

5120458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5120458560 is about 71557.3794936623. The cubic root of 5120458560 is about 1723.5992055713.

Adding to 5120458560 its reverse (658540215), we get a palindrome (5778998775).

The spelling of 5120458560 in words is "five billion, one hundred twenty million, four hundred fifty-eight thousand, five hundred sixty".