16278528000 has 448 divisors, whose sum is σ = 61992223488. Its totient is φ = 3715891200.

The previous prime is 16278527987. The next prime is 16278528011. The reversal of 16278528000 is 82587261.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16278528000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21503622 + ... + 21504378.

Almost surely, 2^16278528000 is an apocalyptic number.

16278528000 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 16278528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996111744).

16278528000 is an abundant number, since it is smaller than the sum of its proper divisors (45713695488).

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

16278528000 is an frugal number, since it uses more digits than its factorization.

16278528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 16278528000 in words is "sixteen billion, two hundred seventy-eight million, five hundred twenty-eight thousand".