5529604660200 has 480 divisors, whose sum is σ = 20096463978360. Its totient is φ = 1407630182400.

The previous prime is 5529604660141. The next prime is 5529604660241. The reversal of 5529604660200 is 20664069255.

It is a happy number.

5529604660200 is a `hidden beast` number, since 5 + 529 + 6 + 0 + 46 + 60 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1589006471364 + 3940598188836 = 1260558^2 + 1985094^2 .

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 (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31681170 + ... + 31855230.

Almost surely, 2^{5529604660200} is an apocalyptic number.

5529604660200 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 5529604660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048231989180).

5529604660200 is an abundant number, since it is smaller than the sum of its proper divisors (14566859318160).

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

5529604660200 is a wasteful number, since it uses less digits than its factorization.

5529604660200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174179 (or 174161 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5529604660200 in words is "five trillion, five hundred twenty-nine billion, six hundred four million, six hundred sixty thousand, two hundred".