5752857600 has 1056 divisors, whose sum is σ = 25585862400. Its totient is φ = 1238630400.

The previous prime is 5752857553. The next prime is 5752857611. The reversal of 5752857600 is 67582575.

5752857600 is a `hidden beast` number, since 5 + 75 + 2 + 8 + 576 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 140313580 + ... + 140313620.

Almost surely, 2^5752857600 is an apocalyptic number.

5752857600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5752857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792931200).

5752857600 is an abundant number, since it is smaller than the sum of its proper divisors (19833004800).

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

5752857600 is a wasteful number, since it uses less digits than its factorization.

5752857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 5752857600 is about 75847.5945564525. The cubic root of 5752857600 is about 1791.8206665777.

The spelling of 5752857600 in words is "five billion, seven hundred fifty-two million, eight hundred fifty-seven thousand, six hundred".