556173840096 has 576 divisors, whose sum is σ = 1948211306496. Its totient is φ = 147134361600.

The previous prime is 556173839987. The next prime is 556173840151. The reversal of 556173840096 is 690048371655.

556173840096 is a `hidden beast` number, since 5 + 561 + 7 + 38 + 40 + 0 + 9 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 141051501 + ... + 141055443.

It is an arithmetic number, because the mean of its divisors is an integer number (3382311296).

Almost surely, 2^556173840096 is an apocalyptic number.

556173840096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556173840096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974105653248).

556173840096 is an abundant number, since it is smaller than the sum of its proper divisors (1392037466400).

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

556173840096 is a wasteful number, since it uses less digits than its factorization.

556173840096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 556173840096 in words is "five hundred fifty-six billion, one hundred seventy-three million, eight hundred forty thousand, ninety-six".