556458114560 has 160 divisors (see below), whose sum is σ = 1384263758592. Its totient is φ = 214303703040.

The previous prime is 556458114473. The next prime is 556458114571. The reversal of 556458114560 is 65411854655.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 556458114499 and 556458114508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15616124 + ... + 15651716.

Almost surely, 2^556458114560 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 556458114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692131879296).

556458114560 is an abundant number, since it is smaller than the sum of its proper divisors (827805644032).

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

556458114560 is a wasteful number, since it uses less digits than its factorization.

556458114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35844 (or 35828 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 50.

The spelling of 556458114560 in words is "five hundred fifty-six billion, four hundred fifty-eight million, one hundred fourteen thousand, five hundred sixty".