550509765120 has 1920 divisors, whose sum is σ = 2469876203520. Its totient is φ = 113706270720.

The previous prime is 550509765109. The next prime is 550509765139. The reversal of 550509765120 is 21567905055.

550509765120 is a `hidden beast` number, since 5 + 5 + 0 + 509 + 76 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×550509765120² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4334722497 + ... + 4334722623.

It is an arithmetic number, because the mean of its divisors is an integer number (1286393856).

Almost surely, 2^550509765120 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 550509765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234938101760).

550509765120 is an abundant number, since it is smaller than the sum of its proper divisors (1919366438400).

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

550509765120 is a wasteful number, since it uses less digits than its factorization.

550509765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 550509765120 in words is "five hundred fifty billion, five hundred nine million, seven hundred sixty-five thousand, one hundred twenty".