556615045600 has 72 divisors (see below), whose sum is σ = 1360707002928. Its totient is φ = 222339532800.

The previous prime is 556615045543. The next prime is 556615045621. The reversal of 556615045600 is 6540516655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103080 + ... + 1060120.

It is an arithmetic number, because the mean of its divisors is an integer number (18898708374).

Almost surely, 2^556615045600 is an apocalyptic number.

556615045600 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 556615045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680353501464).

556615045600 is an abundant number, since it is smaller than the sum of its proper divisors (804091957328).

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

556615045600 is a wasteful number, since it uses less digits than its factorization.

556615045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957788 (or 957775 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

The spelling of 556615045600 in words is "five hundred fifty-six billion, six hundred fifteen million, forty-five thousand, six hundred".