5750585280 has 560 divisors, whose sum is σ = 22677266304. Its totient is φ = 1377285120.

The previous prime is 5750585279. The next prime is 5750585297. The reversal of 5750585280 is 825850575.

5750585280 is a `hidden beast` number, since 5 + 75 + 0 + 58 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 69284119 + ... + 69284201.

Almost surely, 2^5750585280 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 5750585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338633152).

5750585280 is an abundant number, since it is smaller than the sum of its proper divisors (16926681024).

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

5750585280 is an frugal number, since it uses more digits than its factorization.

5750585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The square root of 5750585280 is about 75832.6135643497. The cubic root of 5750585280 is about 1791.5847185546.

The spelling of 5750585280 in words is "five billion, seven hundred fifty million, five hundred eighty-five thousand, two hundred eighty".