5309141760 has 648 divisors, whose sum is σ = 20831703984. Its totient is φ = 1293926400.

The previous prime is 5309141749. The next prime is 5309141791. The reversal of 5309141760 is 671419035.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52565710 + ... + 52565810.

Almost surely, 2^5309141760 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 5309141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415851992).

5309141760 is an abundant number, since it is smaller than the sum of its proper divisors (15522562224).

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

5309141760 is a wasteful number, since it uses less digits than its factorization.

5309141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5309141760 is about 72863.8577073709. The cubic root of 5309141760 is about 1744.5152645221.

The spelling of 5309141760 in words is "five billion, three hundred nine million, one hundred forty-one thousand, seven hundred sixty".