556144106000 has 160 divisors (see below), whose sum is σ = 1544595187200. Its totient is φ = 189718848000.

The previous prime is 556144105921. The next prime is 556144106057. The reversal of 556144106000 is 601441655.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2686190 + ... + 2885810.

It is an arithmetic number, because the mean of its divisors is an integer number (9653719920).

Almost surely, 2^556144106000 is an apocalyptic number.

556144106000 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 556144106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772297593600).

556144106000 is an abundant number, since it is smaller than the sum of its proper divisors (988451081200).

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

556144106000 is a wasteful number, since it uses less digits than its factorization.

556144106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199850 (or 199834 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 556144106000 its reverse (601441655), we get a palindrome (556745547655).

It can be divided in two parts, 55614 and 4106000, that added together give a palindrome (4161614).

The spelling of 556144106000 in words is "five hundred fifty-six billion, one hundred forty-four million, one hundred six thousand".