5735254560 has 192 divisors, whose sum is σ = 21205400832. Its totient is φ = 1275457536.

The previous prime is 5735254501. The next prime is 5735254573. The reversal of 5735254560 is 654525375.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 101254 + ... + 147386.

It is an arithmetic number, because the mean of its divisors is an integer number (110444796).

Almost surely, 2^5735254560 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 5735254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602700416).

5735254560 is an abundant number, since it is smaller than the sum of its proper divisors (15470146272).

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

5735254560 is a wasteful number, since it uses less digits than its factorization.

5735254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46195 (or 46187 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 42.

The square root of 5735254560 is about 75731.4634745691. The cubic root of 5735254560 is about 1789.9912153788.

The spelling of 5735254560 in words is "five billion, seven hundred thirty-five million, two hundred fifty-four thousand, five hundred sixty".