16032105578016 has 144 divisors (see below), whose sum is σ = 49759346014560. Its totient is φ = 4855929845760.

The previous prime is 16032105578011. The next prime is 16032105578039. The reversal of 16032105578016 is 61087550123061.

16032105578016 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 2 + 1 + 0 + 557 + 80 + 16 = 666.

16032105578016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (16032105578011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5556171 + ... + 7933173.

It is an arithmetic number, because the mean of its divisors is an integer number (345551013990).

Almost surely, 2^{16032105578016} is an apocalyptic number.

16032105578016 is a gapful number since it is divisible by the number (16) 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 16032105578016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24879673007280).

16032105578016 is an abundant number, since it is smaller than the sum of its proper divisors (33727240436544).

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

16032105578016 is a wasteful number, since it uses less digits than its factorization.

16032105578016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379159 (or 2379148 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 16032105578016 in words is "sixteen trillion, thirty-two billion, one hundred five million, five hundred seventy-eight thousand, sixteen".