556441986532320 has 864 divisors, whose sum is σ = 2285216786151936. Its totient is φ = 125395259673600.

The previous prime is 556441986532273. The next prime is 556441986532331. The reversal of 556441986532320 is 23235689144655.

556441986532320 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 4 + 1 + 98 + 6 + 532 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 521197455 + ... + 522263985.

It is an arithmetic number, because the mean of its divisors is an integer number (2644926835824).

Almost surely, 2^{556441986532320} 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 556441986532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142608393075968).

556441986532320 is an abundant number, since it is smaller than the sum of its proper divisors (1728774799619616).

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

556441986532320 is an equidigital number, since it uses as much as digits as its factorization.

556441986532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066648 (or 1066619 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 556441986532320 in words is "five hundred fifty-six trillion, four hundred forty-one billion, nine hundred eighty-six million, five hundred thirty-two thousand, three hundred twenty".