5309541120 has 576 divisors, whose sum is σ = 19515654144. Its totient is φ = 1220935680.

The previous prime is 5309541119. The next prime is 5309541121. The reversal of 5309541120 is 211459035.

It is an interprime number because it is at equal distance from previous prime (5309541119) and next prime (5309541121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5309541121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72733404 + ... + 72733476.

It is an arithmetic number, because the mean of its divisors is an integer number (33881344).

Almost surely, 2^5309541120 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 5309541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757827072).

5309541120 is an abundant number, since it is smaller than the sum of its proper divisors (14206113024).

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

5309541120 is a wasteful number, since it uses less digits than its factorization.

5309541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5309541120 is about 72866.5981091474. The cubic root of 5309541120 is about 1744.5590049343.

The spelling of 5309541120 in words is "five billion, three hundred nine million, five hundred forty-one thousand, one hundred twenty".