5309915845120 has 80 divisors (see below), whose sum is σ = 12734515941048. Its totient is φ = 2123438653440.

The previous prime is 5309915845097. The next prime is 5309915845121. The reversal of 5309915845120 is 215485199035.

It can be written as a sum of positive squares in 4 ways, for example, as 5281686468864 + 28229376256 = 2298192^2 + 168016^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5309915845121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10130290 + ... + 10641550.

Almost surely, 2^{5309915845120} 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 5309915845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367257970524).

5309915845120 is an abundant number, since it is smaller than the sum of its proper divisors (7424600095928).

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

5309915845120 is an equidigital number, since it uses as much as digits as its factorization.

5309915845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515341 (or 515325 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 52.

The spelling of 5309915845120 in words is "five trillion, three hundred nine billion, nine hundred fifteen million, eight hundred forty-five thousand, one hundred twenty".