575505963072 has 336 divisors, whose sum is σ = 1693997323200. Its totient is φ = 186763137024.

The previous prime is 575505963059. The next prime is 575505963073. The reversal of 575505963072 is 270369505575.

575505963072 is a `hidden beast` number, since 5 + 7 + 5 + 505 + 9 + 63 + 0 + 72 = 666.

It is a super-2 number, since 2×575505963072² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (575505963073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232346583 + ... + 1232347049.

It is an arithmetic number, because the mean of its divisors is an integer number (5041658700).

Almost surely, 2^575505963072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575505963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846998661600).

575505963072 is an abundant number, since it is smaller than the sum of its proper divisors (1118491360128).

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

575505963072 is a wasteful number, since it uses less digits than its factorization.

575505963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 54.

The spelling of 575505963072 in words is "five hundred seventy-five billion, five hundred five million, nine hundred sixty-three thousand, seventy-two".