16394252784000 has 2048 divisors, whose sum is σ = 70754253373440. Its totient is φ = 3264675840000.

The previous prime is 16394252783941. The next prime is 16394252784083. The reversal of 16394252784000 is 48725249361.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5551726524 + ... + 5551729476.

It is an arithmetic number, because the mean of its divisors is an integer number (34547975280).

It is a 1-persistent number, because it is pandigital, but 2⋅16394252784000 = 32788505568000 is not.

Almost surely, 2^{16394252784000} is an apocalyptic number.

16394252784000 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 16394252784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35377126686720).

16394252784000 is an abundant number, since it is smaller than the sum of its proper divisors (54360000589440).

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

16394252784000 is a wasteful number, since it uses less digits than its factorization.

16394252784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 16394252784000 in words is "sixteen trillion, three hundred ninety-four billion, two hundred fifty-two million, seven hundred eighty-four thousand".