16004167201000 has 256 divisors, whose sum is σ = 41497760229120. Its totient is φ = 5728700800000.

The previous prime is 16004167200947. The next prime is 16004167201073. The reversal of 16004167201000 is 10276140061.

It is a super-2 number, since 2×16004167201000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16004167201000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192161367 + ... + 192244633.

It is an arithmetic number, because the mean of its divisors is an integer number (162100625895).

Almost surely, 2^{16004167201000} is an apocalyptic number.

16004167201000 is a gapful number since it is divisible by the number (10) 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 16004167201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748880114560).

16004167201000 is an abundant number, since it is smaller than the sum of its proper divisors (25493593028120).

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

16004167201000 is a wasteful number, since it uses less digits than its factorization.

16004167201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83573 (or 83559 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 16004167201000 in words is "sixteen trillion, four billion, one hundred sixty-seven million, two hundred one thousand".