16782144000 has 160 divisors (see below), whose sum is σ = 55797071616. Its totient is φ = 4475187200.

The previous prime is 16782143999. The next prime is 16782144047. The reversal of 16782144000 is 44128761.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148297 + ... + 235703.

Almost surely, 2^16782144000 is an apocalyptic number.

16782144000 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 16782144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27898535808).

16782144000 is an abundant number, since it is smaller than the sum of its proper divisors (39014927616).

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

16782144000 is an frugal number, since it uses more digits than its factorization.

16782144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87443 (or 87417 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 16782144000 in words is "sixteen billion, seven hundred eighty-two million, one hundred forty-four thousand".