550505556000 has 288 divisors, whose sum is σ = 1980517292208. Its totient is φ = 144789811200.

The previous prime is 550505555947. The next prime is 550505556001. The reversal of 550505556000 is 655505055.

550505556000 is a `hidden beast` number, since 5 + 50 + 50 + 5 + 556 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37293789456 + 513211766544 = 193116^2 + 716388^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (550505556001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2523262 + ... + 2732738.

Almost surely, 2^550505556000 is an apocalyptic number.

550505556000 is a gapful number since it is divisible by the number (50) 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 550505556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990258646104).

550505556000 is an abundant number, since it is smaller than the sum of its proper divisors (1430011736208).

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

550505556000 is a wasteful number, since it uses less digits than its factorization.

550505556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209581 (or 209560 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 550505556000 in words is "five hundred fifty billion, five hundred five million, five hundred fifty-six thousand".