556395181056 has 352 divisors, whose sum is σ = 1935859363200. Its totient is φ = 155633909760.

The previous prime is 556395181007. The next prime is 556395181073. The reversal of 556395181056 is 650181593655.

556395181056 is a `hidden beast` number, since 5 + 5 + 63 + 9 + 518 + 10 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a junction number, because it is equal to n+sod(n) for n = 556395180993 and 556395181011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3883300 + ... + 4024028.

Almost surely, 2^556395181056 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 556395181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967929681600).

556395181056 is an abundant number, since it is smaller than the sum of its proper divisors (1379464182144).

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

556395181056 is a wasteful number, since it uses less digits than its factorization.

556395181056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140782 (or 140758 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 556395181056 in words is "five hundred fifty-six billion, three hundred ninety-five million, one hundred eighty-one thousand, fifty-six".