5505106106016 has 288 divisors, whose sum is σ = 18395751628800. Its totient is φ = 1544208652800.

The previous prime is 5505106105999. The next prime is 5505106106051. The reversal of 5505106106016 is 6106016015055.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040185 + ... + 3477383.

It is an arithmetic number, because the mean of its divisors is an integer number (63874137600).

Almost surely, 2^{5505106106016} 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 5505106106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9197875814400).

5505106106016 is an abundant number, since it is smaller than the sum of its proper divisors (12890645522784).

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

5505106106016 is a wasteful number, since it uses less digits than its factorization.

5505106106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437280 (or 2437269 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 5505106106016 in words is "five trillion, five hundred five billion, one hundred six million, one hundred six thousand, sixteen".