549407552000 has 160 divisors (see below), whose sum is σ = 1417227617520. Its totient is φ = 212184268800.

The previous prime is 549407551949. The next prime is 549407552003. The reversal of 549407552000 is 255704945.

It can be written as a sum of positive squares in 8 ways, for example, as 159092490496 + 390315061504 = 398864^2 + 624752^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (549407552003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1707992 + ... + 2004008.

Almost surely, 2^549407552000 is an apocalyptic number.

549407552000 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 549407552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708613808760).

549407552000 is an abundant number, since it is smaller than the sum of its proper divisors (867820065520).

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

549407552000 is an equidigital number, since it uses as much as digits as its factorization.

549407552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296079 (or 296053 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 549407552000 in words is "five hundred forty-nine billion, four hundred seven million, five hundred fifty-two thousand".