557709442321536 has 320 divisors, whose sum is σ = 1687092387714360. Its totient is φ = 182839364812800.

The previous prime is 557709442321501. The next prime is 557709442321639. The reversal of 557709442321536 is 635123244907755.

557709442321536 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 0 + 9 + 442 + 32 + 153 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 226817334927936 + 330892107393600 = 15060456^2 + 18190440^2 .

It is a super-2 number, since 2×557709442321536² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8662608066 + ... + 8662672446.

Almost surely, 2^{557709442321536} 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 557709442321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843546193857180).

557709442321536 is an abundant number, since it is smaller than the sum of its proper divisors (1129382945392824).

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

557709442321536 is a wasteful number, since it uses less digits than its factorization.

557709442321536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78165 (or 78144 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 557709442321536 in words is "five hundred fifty-seven trillion, seven hundred nine billion, four hundred forty-two million, three hundred twenty-one thousand, five hundred thirty-six".