575228313600 has 768 divisors, whose sum is σ = 2038736179200. Its totient is φ = 142690222080.

The previous prime is 575228313589. The next prime is 575228313637. The reversal of 575228313600 is 6313822575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×575228313600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4529356737 + ... + 4529356863.

It is an arithmetic number, because the mean of its divisors is an integer number (2654604400).

Almost surely, 2^575228313600 is an apocalyptic number.

575228313600 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 575228313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019368089600).

575228313600 is an abundant number, since it is smaller than the sum of its proper divisors (1463507865600).

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

575228313600 is a wasteful number, since it uses less digits than its factorization.

575228313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 575228313600 in words is "five hundred seventy-five billion, two hundred twenty-eight million, three hundred thirteen thousand, six hundred".