575968896000 has 264 divisors, whose sum is σ = 2075550065784. Its totient is φ = 153591398400.

The previous prime is 575968895963. The next prime is 575968896007. The reversal of 575968896000 is 698869575.

It can be written as a sum of positive squares in 4 ways, for example, as 215737344 + 575753158656 = 14688^2 + 758784^2 .

It is not an unprimeable number, because it can be changed into a prime (575968896007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902014 + ... + 1401986.

Almost surely, 2^575968896000 is an apocalyptic number.

575968896000 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 575968896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037775032892).

575968896000 is an abundant number, since it is smaller than the sum of its proper divisors (1499581169784).

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

575968896000 is a wasteful number, since it uses less digits than its factorization.

575968896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500014 (or 499983 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 575968896000 in words is "five hundred seventy-five billion, nine hundred sixty-eight million, eight hundred ninety-six thousand".