19166035968016 has 120 divisors (see below), whose sum is σ = 43343593987200. Its totient is φ = 8186155197696.

The previous prime is 19166035967921. The next prime is 19166035968017. The reversal of 19166035968016 is 61086953066191.

It is not an unprimeable number, because it can be changed into a prime (19166035968017) 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, 445669171 + ... + 445712173.

It is an arithmetic number, because the mean of its divisors is an integer number (361196616560).

Almost surely, 2^{19166035968016} is an apocalyptic number.

19166035968016 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 19166035968016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671796993600).

19166035968016 is an abundant number, since it is smaller than the sum of its proper divisors (24177558019184).

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

19166035968016 is a wasteful number, since it uses less digits than its factorization.

19166035968016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44941 (or 44928 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 61.

The spelling of 19166035968016 in words is "nineteen trillion, one hundred sixty-six billion, thirty-five million, nine hundred sixty-eight thousand, sixteen".