5309660160 has 880 divisors, whose sum is σ = 22826833920. Its totient is φ = 1154580480.

The previous prime is 5309660137. The next prime is 5309660203. The reversal of 5309660160 is 610669035.

5309660160 is a `hidden beast` number, since 530 + 9 + 6 + 60 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89994211 + ... + 89994269.

It is an arithmetic number, because the mean of its divisors is an integer number (25939584).

Almost surely, 2^5309660160 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 5309660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413416960).

5309660160 is an abundant number, since it is smaller than the sum of its proper divisors (17517173760).

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

5309660160 is a wasteful number, since it uses less digits than its factorization.

5309660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5309660160 is about 72867.4149397383. The cubic root of 5309660160 is about 1744.5720425175.

The spelling of 5309660160 in words is "five billion, three hundred nine million, six hundred sixty thousand, one hundred sixty".