556012117600 has 72 divisors (see below), whose sum is σ = 1359483409368. Its totient is φ = 222057676800.

The previous prime is 556012117561. The next prime is 556012117607. The reversal of 556012117600 is 6711210655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556012117607) 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 11 ways as a sum of consecutive naturals, for example, 29334 + ... + 1054933.

It is an arithmetic number, because the mean of its divisors is an integer number (18881714019).

Almost surely, 2^556012117600 is an apocalyptic number.

556012117600 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 556012117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679741704684).

556012117600 is an abundant number, since it is smaller than the sum of its proper divisors (803471291768).

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

556012117600 is a wasteful number, since it uses less digits than its factorization.

556012117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084928 (or 1084915 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 556012117600 in words is "five hundred fifty-six billion, twelve million, one hundred seventeen thousand, six hundred".