556205030016 has 128 divisors (see below), whose sum is σ = 1543415040000. Its totient is φ = 177138306048.

The previous prime is 556205029951. The next prime is 556205030053. The reversal of 556205030016 is 610030502655.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7798485 + ... + 7869483.

It is an arithmetic number, because the mean of its divisors is an integer number (12057930000).

Almost surely, 2^556205030016 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 556205030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771707520000).

556205030016 is an abundant number, since it is smaller than the sum of its proper divisors (987210009984).

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

556205030016 is a wasteful number, since it uses less digits than its factorization.

556205030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71926 (or 71914 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 556205030016 in words is "five hundred fifty-six billion, two hundred five million, thirty thousand, sixteen".