5258907556880 has 80 divisors (see below), whose sum is σ = 12341960502960. Its totient is φ = 2083786850304.

The previous prime is 5258907556871. The next prime is 5258907556907. The reversal of 5258907556880 is 886557098525.

It can be written as a sum of positive squares in 8 ways, for example, as 763896976144 + 4495010580736 = 874012^2 + 2120144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5258907556880² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5258907556880.

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 15 ways as a sum of consecutive naturals, for example, 39286544 + ... + 39420176.

It is an arithmetic number, because the mean of its divisors is an integer number (154274506287).

Almost surely, 2^{5258907556880} 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 5258907556880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170980251480).

5258907556880 is an abundant number, since it is smaller than the sum of its proper divisors (7083052946080).

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

5258907556880 is a wasteful number, since it uses less digits than its factorization.

5258907556880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138268 (or 138262 counting only the distinct ones).

The product of its (nonzero) digits is 241920000, while the sum is 68.

The spelling of 5258907556880 in words is "five trillion, two hundred fifty-eight billion, nine hundred seven million, five hundred fifty-six thousand, eight hundred eighty".