5759953760 has 192 divisors, whose sum is σ = 15431399424. Its totient is φ = 2012774400.

The previous prime is 5759953751. The next prime is 5759953781. The reversal of 5759953760 is 673599575.

It is a junction number, because it is equal to n+sod(n) for n = 5759953696 and 5759953705.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10529807 + ... + 10530353.

It is an arithmetic number, because the mean of its divisors is an integer number (80371872).

Almost surely, 2^5759953760 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 5759953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715699712).

5759953760 is an abundant number, since it is smaller than the sum of its proper divisors (9671445664).

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

5759953760 is a wasteful number, since it uses less digits than its factorization.

5759953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 8930250, while the sum is 56.

The square root of 5759953760 is about 75894.3592106818. The cubic root of 5759953760 is about 1792.5571018472.

The spelling of 5759953760 in words is "five billion, seven hundred fifty-nine million, nine hundred fifty-three thousand, seven hundred sixty".