5258995560 has 1152 divisors, whose sum is σ = 24200467200. Its totient is φ = 975421440.

The previous prime is 5258995549. The next prime is 5258995591. The reversal of 5258995560 is 655998525.

5258995560 is a `hidden beast` number, since 5 + 2 + 5 + 89 + 9 + 556 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5258995497 and 5258995506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74070325 + ... + 74070395.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^5258995560 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 5258995560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100233600).

5258995560 is an abundant number, since it is smaller than the sum of its proper divisors (18941471640).

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

5258995560 is a wasteful number, since it uses less digits than its factorization.

5258995560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The square root of 5258995560 is about 72518.9324245745. The cubic root of 5258995560 is about 1739.0054165433.

The spelling of 5258995560 in words is "five billion, two hundred fifty-eight million, nine hundred ninety-five thousand, five hundred sixty".