557663502010000 has 225 divisors, whose sum is σ = 1363513155043039. Its totient is φ = 220880550256000.

The previous prime is 557663502009997. The next prime is 557663502010039. The reversal of 557663502010000 is 10205366755.

The square root of 557663502010000 is 23614900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 43720818557584 + 513942683452416 = 6612172^2 + 22670304^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 252679428897 + ... + 252679431103.

Almost surely, 2^{557663502010000} is an apocalyptic number.

557663502010000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

557663502010000 is the 23614900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557663502010000

557663502010000 is an abundant number, since it is smaller than the sum of its proper divisors (805849653033039).

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

557663502010000 is an frugal number, since it uses more digits than its factorization.

557663502010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

Adding to 557663502010000 its reverse (10205366755), we get a palindrome (557673707376755).

The spelling of 557663502010000 in words is "five hundred fifty-seven trillion, six hundred sixty-three billion, five hundred two million, ten thousand".