5706355200 has 960 divisors, whose sum is σ = 24550428672. Its totient is φ = 1135411200.

The previous prime is 5706355189. The next prime is 5706355217. The reversal of 5706355200 is 25536075.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80371165 + ... + 80371235.

Almost surely, 2^5706355200 is an apocalyptic number.

5706355200 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 5706355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275214336).

5706355200 is an abundant number, since it is smaller than the sum of its proper divisors (18844073472).

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

5706355200 is a wasteful number, since it uses less digits than its factorization.

5706355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 5706355200 is about 75540.4209678501. The cubic root of 5706355200 is about 1786.9796238992.

The spelling of 5706355200 in words is "five billion, seven hundred six million, three hundred fifty-five thousand, two hundred".