556134653160 has 144 divisors (see below), whose sum is σ = 1832542533900. Its totient is φ = 146270527488.

The previous prime is 556134653149. The next prime is 556134653177. The reversal of 556134653160 is 61356431655.

It is a happy number.

556134653160 is a `hidden beast` number, since 5 + 5 + 6 + 13 + 46 + 531 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 146301660036 + 409832993124 = 382494^2 + 640182^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 1773496 + ... + 2063384.

Almost surely, 2^556134653160 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 556134653160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916271266950).

556134653160 is an abundant number, since it is smaller than the sum of its proper divisors (1276407880740).

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

556134653160 is a wasteful number, since it uses less digits than its factorization.

556134653160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290052 (or 289972 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 556134653160 in words is "five hundred fifty-six billion, one hundred thirty-four million, six hundred fifty-three thousand, one hundred sixty".