5258077560 has 144 divisors (see below), whose sum is σ = 18153462600. Its totient is φ = 1319648256.

The previous prime is 5258077519. The next prime is 5258077631. The reversal of 5258077560 is 657708525.

5258077560 is a `hidden beast` number, since 5 + 2 + 5 + 80 + 7 + 7 + 560 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78771 + ... + 129309.

Almost surely, 2^5258077560 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 5258077560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076731300).

5258077560 is an abundant number, since it is smaller than the sum of its proper divisors (12895385040).

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

5258077560 is a wasteful number, since it uses less digits than its factorization.

5258077560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50590 (or 50566 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 5258077560 is about 72512.6027666915. The cubic root of 5258077560 is about 1738.9042248581.

The spelling of 5258077560 in words is "five billion, two hundred fifty-eight million, seventy-seven thousand, five hundred sixty".