556149784320 has 1512 divisors, whose sum is σ = 2287996171776. Its totient is φ = 128672022528.

The previous prime is 556149784303. The next prime is 556149784327. The reversal of 556149784320 is 23487941655.

It is a happy number.

556149784320 is a `hidden beast` number, since 5 + 56 + 1 + 497 + 84 + 3 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556149784327) 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 167 ways as a sum of consecutive naturals, for example, 4379132097 + ... + 4379132223.

It is a 1-persistent number, because it is pandigital, but 2⋅556149784320 = 1112299568640 is not.

Almost surely, 2^556149784320 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 556149784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143998085888).

556149784320 is an abundant number, since it is smaller than the sum of its proper divisors (1731846387456).

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

556149784320 is a wasteful number, since it uses less digits than its factorization.

556149784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 556149784320 in words is "five hundred fifty-six billion, one hundred forty-nine million, seven hundred eighty-four thousand, three hundred twenty".