549915200016 has 640 divisors, whose sum is σ = 1943208960000. Its totient is φ = 132632930304.

The previous prime is 549915200011. The next prime is 549915200017. The reversal of 549915200016 is 610002519945.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (549915200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117929301 + ... + 117933963.

It is an arithmetic number, because the mean of its divisors is an integer number (3036264000).

Almost surely, 2^549915200016 is an apocalyptic number.

549915200016 is a gapful number since it is divisible by the number (56) 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 549915200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971604480000).

549915200016 is an abundant number, since it is smaller than the sum of its proper divisors (1393293759984).

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

549915200016 is a wasteful number, since it uses less digits than its factorization.

549915200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 549915200016 in words is "five hundred forty-nine billion, nine hundred fifteen million, two hundred thousand, sixteen".