16005646272 has 448 divisors, whose sum is σ = 55750017024. Its totient is φ = 3929333760.

The previous prime is 16005646199. The next prime is 16005646277. The reversal of 16005646272 is 27264650061.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16005646272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16005646277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35023068 + ... + 35023524.

Almost surely, 2^16005646272 is an apocalyptic number.

16005646272 is a gapful number since it is divisible by the number (12) 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 16005646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27875008512).

16005646272 is an abundant number, since it is smaller than the sum of its proper divisors (39744370752).

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

16005646272 is a wasteful number, since it uses less digits than its factorization.

16005646272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 16005646272 in words is "sixteen billion, five million, six hundred forty-six thousand, two hundred seventy-two".