556620142066560 has 2880 divisors, whose sum is σ = 2431692632920320. Its totient is φ = 120523371724800.

The previous prime is 556620142066553. The next prime is 556620142066601. The reversal of 556620142066560 is 65660241026655.

It is a happy number.

556620142066560 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 2 + 0 + 14 + 2 + 0 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 556620142066497 and 556620142066506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 78364087969 + ... + 78364095071.

It is an arithmetic number, because the mean of its divisors is an integer number (844337719764).

Almost surely, 2^{556620142066560} 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 556620142066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215846316460160).

556620142066560 is an abundant number, since it is smaller than the sum of its proper divisors (1875072490853760).

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

556620142066560 is a wasteful number, since it uses less digits than its factorization.

556620142066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 556620142066560 in words is "five hundred fifty-six trillion, six hundred twenty billion, one hundred forty-two million, sixty-six thousand, five hundred sixty".