16128185216 has 128 divisors (see below), whose sum is σ = 37836288000. Its totient is φ = 6751180800.

The previous prime is 16128185201. The next prime is 16128185273. The reversal of 16128185216 is 61258182161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10963361 + ... + 10964831.

It is an arithmetic number, because the mean of its divisors is an integer number (295596000).

Almost surely, 2^16128185216 is an apocalyptic number.

16128185216 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 16128185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918144000).

16128185216 is an abundant number, since it is smaller than the sum of its proper divisors (21708102784).

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

16128185216 is a wasteful number, since it uses less digits than its factorization.

16128185216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2096 counting only the distinct ones).

The product of its digits is 46080, while the sum is 41.

The spelling of 16128185216 in words is "sixteen billion, one hundred twenty-eight million, one hundred eighty-five thousand, two hundred sixteen".