5560144128 has 576 divisors, whose sum is σ = 21223587840. Its totient is φ = 1393459200.

The previous prime is 5560144099. The next prime is 5560144153. The reversal of 5560144128 is 8214410655.

It is a happy number.

5560144128 is a `hidden beast` number, since 5 + 5 + 601 + 4 + 41 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5560144092 and 5560144101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16498776 + ... + 16499112.

Almost surely, 2^5560144128 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 5560144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611793920).

5560144128 is an abundant number, since it is smaller than the sum of its proper divisors (15663443712).

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

5560144128 is a wasteful number, since it uses less digits than its factorization.

5560144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5560144128 is about 74566.3739764782. The cubic root of 5560144128 is about 1771.5850897031.

The spelling of 5560144128 in words is "five billion, five hundred sixty million, one hundred forty-four thousand, one hundred twenty-eight".