575436203013364 has 288 divisors, whose sum is σ = 1353809235421440. Its totient is φ = 209077109176320.

The previous prime is 575436203013341. The next prime is 575436203013379. The reversal of 575436203013364 is 463310302634575.

It is a super-2 number, since 2×575436203013364² (a number of 30 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 95 ways as a sum of consecutive naturals, for example, 497461687 + ... + 498617089.

It is an arithmetic number, because the mean of its divisors is an integer number (4700726511880).

Almost surely, 2^{575436203013364} 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 575436203013364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676904617710720).

575436203013364 is an abundant number, since it is smaller than the sum of its proper divisors (778373032408076).

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

575436203013364 is a wasteful number, since it uses less digits than its factorization.

575436203013364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155639 (or 1155626 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 52.

The spelling of 575436203013364 in words is "five hundred seventy-five trillion, four hundred thirty-six billion, two hundred three million, thirteen thousand, three hundred sixty-four".