5259123394560 has 1728 divisors, whose sum is σ = 22836537360000. Its totient is φ = 1092684349440.

The previous prime is 5259123394537. The next prime is 5259123394579. The reversal of 5259123394560 is 654933219525.

5259123394560 is a `hidden beast` number, since 5 + 2 + 59 + 1 + 23 + 3 + 9 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5259123394497 and 5259123394506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10539325191 + ... + 10539325689.

It is an arithmetic number, because the mean of its divisors is an integer number (13215588750).

Almost surely, 2^{5259123394560} 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 5259123394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418268680000).

5259123394560 is an abundant number, since it is smaller than the sum of its proper divisors (17577413965440).

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

5259123394560 is a wasteful number, since it uses less digits than its factorization.

5259123394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 5259123394560 in words is "five trillion, two hundred fifty-nine billion, one hundred twenty-three million, three hundred ninety-four thousand, five hundred sixty".