550506666600 has 480 divisors, whose sum is σ = 2130219907200. Its totient is φ = 130614681600.

The previous prime is 550506666599. The next prime is 550506666601. The reversal of 550506666600 is 6666605055.

It is an interprime number because it is at equal distance from previous prime (550506666599) and next prime (550506666601).

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

It is not an unprimeable number, because it can be changed into a prime (550506666601) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 8342536 + ... + 8408264.

It is an arithmetic number, because the mean of its divisors is an integer number (4437958140).

Almost surely, 2^550506666600 is an apocalyptic number.

550506666600 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 550506666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065109953600).

550506666600 is an abundant number, since it is smaller than the sum of its proper divisors (1579713240600).

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

550506666600 is a wasteful number, since it uses less digits than its factorization.

550506666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65815 (or 65797 counting only the distinct ones).

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

The spelling of 550506666600 in words is "five hundred fifty billion, five hundred six million, six hundred sixty-six thousand, six hundred".