5745310560 has 480 divisors, whose sum is σ = 22340634624. Its totient is φ = 1378944000.

The previous prime is 5745310541. The next prime is 5745310591. The reversal of 5745310560 is 650135475.

5745310560 is a `hidden beast` number, since 5 + 74 + 531 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27228855 + ... + 27229065.

Almost surely, 2^5745310560 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 5745310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170317312).

5745310560 is an abundant number, since it is smaller than the sum of its proper divisors (16595324064).

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

5745310560 is a wasteful number, since it uses less digits than its factorization.

5745310560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5745310560 is about 75797.8268817781. The cubic root of 5745310560 is about 1791.0367744105.

The spelling of 5745310560 in words is "five billion, seven hundred forty-five million, three hundred ten thousand, five hundred sixty".