5757958560 has 96 divisors (see below), whose sum is σ = 18408382272. Its totient is φ = 1512529920.

The previous prime is 5757958541. The next prime is 5757958561. The reversal of 5757958560 is 658597575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5757958560.

It is not an unprimeable number, because it can be changed into a prime (5757958561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57361 + ... + 121680.

It is an arithmetic number, because the mean of its divisors is an integer number (191753982).

Almost surely, 2^5757958560 is an apocalyptic number.

It is an amenable number.

5757958560 is an abundant number, since it is smaller than the sum of its proper divisors (12650423712).

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

5757958560 is a wasteful number, since it uses less digits than its factorization.

5757958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179126 (or 179118 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 57.

The square root of 5757958560 is about 75881.2134852890. The cubic root of 5757958560 is about 1792.3501023285.

The spelling of 5757958560 in words is "five billion, seven hundred fifty-seven million, nine hundred fifty-eight thousand, five hundred sixty".