575128320000 has 960 divisors, whose sum is σ = 2121247608480. Its totient is φ = 137625600000.

The previous prime is 575128319977. The next prime is 575128320017. The reversal of 575128320000 is 23821575.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2046719860 + ... + 2046720140.

Almost surely, 2^575128320000 is an apocalyptic number.

575128320000 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 575128320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060623804240).

575128320000 is an abundant number, since it is smaller than the sum of its proper divisors (1546119288480).

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

575128320000 is a wasteful number, since it uses less digits than its factorization.

575128320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 575128320000 in words is "five hundred seventy-five billion, one hundred twenty-eight million, three hundred twenty thousand".