556085088 has 144 divisors (see below), whose sum is σ = 1766406096. Its totient is φ = 171072000.

The previous prime is 556085081. The next prime is 556085107. The reversal of 556085088 is 880580655.

556085088 is a `hidden beast` number, since 5 + 560 + 8 + 5 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556085081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98338 + ... + 103838.

It is an arithmetic number, because the mean of its divisors is an integer number (12266709).

Almost surely, 2^556085088 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 556085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883203048).

556085088 is an abundant number, since it is smaller than the sum of its proper divisors (1210321008).

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

556085088 is a wasteful number, since it uses less digits than its factorization.

556085088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 556085088 is about 23581.4564435702. The cubic root of 556085088 is about 822.3317963646.

The spelling of 556085088 in words is "five hundred fifty-six million, eighty-five thousand, eighty-eight".