5105218560 has 352 divisors, whose sum is σ = 18086178432. Its totient is φ = 1220935680.

The previous prime is 5105218463. The next prime is 5105218567. The reversal of 5105218560 is 658125015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105218567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7387815 + ... + 7388505.

Almost surely, 2^5105218560 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 5105218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043089216).

5105218560 is an abundant number, since it is smaller than the sum of its proper divisors (12980959872).

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

5105218560 is a wasteful number, since it uses less digits than its factorization.

5105218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 5105218560 is about 71450.8121717311. The cubic root of 5105218560 is about 1721.8875258547.

The spelling of 5105218560 in words is "five billion, one hundred five million, two hundred eighteen thousand, five hundred sixty".