556315210000 has 200 divisors, whose sum is σ = 1470912382368. Its totient is φ = 202080000000.

The previous prime is 556315209959. The next prime is 556315210001. The reversal of 556315210000 is 12513655.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×556315210000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (556315210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132107895 + ... + 132112105.

Almost surely, 2^556315210000 is an apocalyptic number.

556315210000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556315210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735456191184).

556315210000 is an abundant number, since it is smaller than the sum of its proper divisors (914597172368).

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

556315210000 is a wasteful number, since it uses less digits than its factorization.

556315210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 556315210000 its reverse (12513655), we get a palindrome (556327723655).

The spelling of 556315210000 in words is "five hundred fifty-six billion, three hundred fifteen million, two hundred ten thousand".