5759556960 has 192 divisors, whose sum is σ = 19543265280. Its totient is φ = 1421629440.

The previous prime is 5759556917. The next prime is 5759556961. The reversal of 5759556960 is 696559575.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5759556960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759556961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333826 + ... + 350654.

It is an arithmetic number, because the mean of its divisors is an integer number (101787840).

Almost surely, 2^5759556960 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 5759556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9771632640).

5759556960 is an abundant number, since it is smaller than the sum of its proper divisors (13783708320).

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

5759556960 is a wasteful number, since it uses less digits than its factorization.

5759556960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16901 (or 16893 counting only the distinct ones).

The product of its (nonzero) digits is 12757500, while the sum is 57.

The square root of 5759556960 is about 75891.7450056329. The cubic root of 5759556960 is about 1792.5159381491.

The spelling of 5759556960 in words is "five billion, seven hundred fifty-nine million, five hundred fifty-six thousand, nine hundred sixty".