556122345000 has 160 divisors (see below), whose sum is σ = 1740916478400. Its totient is φ = 147992832000.

The previous prime is 556122344959. The next prime is 556122345007. The reversal of 556122345000 is 543221655.

It is not an unprimeable number, because it can be changed into a prime (556122345007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7266936 + ... + 7343064.

It is an arithmetic number, because the mean of its divisors is an integer number (10880727990).

Almost surely, 2^556122345000 is an apocalyptic number.

556122345000 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 556122345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870458239200).

556122345000 is an abundant number, since it is smaller than the sum of its proper divisors (1184794133400).

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

556122345000 is a wasteful number, since it uses less digits than its factorization.

556122345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76645 (or 76626 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 556122345000 its reverse (543221655), we get a palindrome (556665566655).

The spelling of 556122345000 in words is "five hundred fifty-six billion, one hundred twenty-two million, three hundred forty-five thousand".