575856000 has 512 divisors, whose sum is σ = 2240409600. Its totient is φ = 145152000.

The previous prime is 575855939. The next prime is 575856007. The reversal of 575856000 is 658575.

575856000 is a `hidden beast` number, since 575 + 85 + 6 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×575856000² = 663220265472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575856007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13391979 + ... + 13392021.

It is an arithmetic number, because the mean of its divisors is an integer number (4375800).

Almost surely, 2^575856000 is an apocalyptic number.

575856000 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 575856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120204800).

575856000 is an abundant number, since it is smaller than the sum of its proper divisors (1664553600).

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

575856000 is a wasteful number, since it uses less digits than its factorization.

575856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 575856000 is about 23996.9998124766. Note that the first 3 decimals coincide. The cubic root of 575856000 is about 831.9641873145.

The spelling of 575856000 in words is "five hundred seventy-five million, eight hundred fifty-six thousand".