556445225088 has 384 divisors, whose sum is σ = 1781221104000. Its totient is φ = 165840322560.

The previous prime is 556445225057. The next prime is 556445225099. The reversal of 556445225088 is 880522544655.

556445225088 is a `hidden beast` number, since 5 + 5 + 64 + 4 + 522 + 50 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67110223 + ... + 67118513.

It is an arithmetic number, because the mean of its divisors is an integer number (4638596625).

Almost surely, 2^556445225088 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 556445225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890610552000).

556445225088 is an abundant number, since it is smaller than the sum of its proper divisors (1224775878912).

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

556445225088 is a wasteful number, since it uses less digits than its factorization.

556445225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 556445225088 in words is "five hundred fifty-six billion, four hundred forty-five million, two hundred twenty-five thousand, eighty-eight".