550731106080 has 288 divisors, whose sum is σ = 1904150430000. Its totient is φ = 144937967616.

The previous prime is 550731106049. The next prime is 550731106099. The reversal of 550731106080 is 80601137055.

550731106080 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 31 + 10 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22417276176 + 528313829904 = 149724^2 + 726852^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33677746 + ... + 33694094.

Almost surely, 2^550731106080 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 550731106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952075215000).

550731106080 is an abundant number, since it is smaller than the sum of its proper divisors (1353419323920).

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

550731106080 is a wasteful number, since it uses less digits than its factorization.

550731106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16676 (or 16665 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 550731106080 in words is "five hundred fifty billion, seven hundred thirty-one million, one hundred six thousand, eighty".