557535335304 has 64 divisors (see below), whose sum is σ = 1468549324800. Its totient is φ = 175901661504.

The previous prime is 557535335303. The next prime is 557535335309. The reversal of 557535335304 is 403533535755.

It is a happy number.

It is a super-2 number, since 2×557535335304² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557535335303) 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 15 ways as a sum of consecutive naturals, for example, 66732 + ... + 1058075.

It is an arithmetic number, because the mean of its divisors is an integer number (22946083200).

Almost surely, 2^557535335304 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 557535335304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734274662400).

557535335304 is an abundant number, since it is smaller than the sum of its proper divisors (911013989496).

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

557535335304 is a wasteful number, since it uses less digits than its factorization.

557535335304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125922 (or 1125918 counting only the distinct ones).

The product of its (nonzero) digits is 7087500, while the sum is 48.

The spelling of 557535335304 in words is "five hundred fifty-seven billion, five hundred thirty-five million, three hundred thirty-five thousand, three hundred four".