575261026560 has 648 divisors, whose sum is σ = 2212791005880. Its totient is φ = 137860546560.

The previous prime is 575261026513. The next prime is 575261026597. The reversal of 575261026560 is 65620162575.

575261026560 is a `hidden beast` number, since 5 + 7 + 5 + 2 + 61 + 0 + 26 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 381655296 + 574879371264 = 19536^2 + 758208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124056562 + ... + 124061198.

It is an arithmetic number, because the mean of its divisors is an integer number (3414800935).

Almost surely, 2^575261026560 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 575261026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106395502940).

575261026560 is an abundant number, since it is smaller than the sum of its proper divisors (1637529979320).

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

575261026560 is a wasteful number, since it uses less digits than its factorization.

575261026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 575261026560 in words is "five hundred seventy-five billion, two hundred sixty-one million, twenty-six thousand, five hundred sixty".