555839506656 has 576 divisors, whose sum is σ = 2001568278528. Its totient is φ = 142565474304.

The previous prime is 555839506643. The next prime is 555839506657. The reversal of 555839506656 is 656605938555.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 555839506593 and 555839506602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (555839506657) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 360232221 + ... + 360233763.

It is an arithmetic number, because the mean of its divisors is an integer number (3474944928).

Almost surely, 2^555839506656 is an apocalyptic number.

555839506656 is a gapful number since it is divisible by the number (56) 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 555839506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000784139264).

555839506656 is an abundant number, since it is smaller than the sum of its proper divisors (1445728771872).

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

555839506656 is a wasteful number, since it uses less digits than its factorization.

555839506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 63.

The spelling of 555839506656 in words is "five hundred fifty-five billion, eight hundred thirty-nine million, five hundred six thousand, six hundred fifty-six".