16389734400000 has 2280 divisors, whose sum is σ = 69381666945360. Its totient is φ = 3822059520000.

The previous prime is 16389734399957. The next prime is 16389734400007. The reversal of 16389734400000 is 443798361.

16389734400000 is a `hidden beast` number, since 1 + 63 + 89 + 73 + 440 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16389734400007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 862617599991 + ... + 862617600009.

Almost surely, 2^{16389734400000} is an apocalyptic number.

16389734400000 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 16389734400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34690833472680).

16389734400000 is an abundant number, since it is smaller than the sum of its proper divisors (52991932545360).

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

16389734400000 is an frugal number, since it uses more digits than its factorization.

16389734400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16389734400000 in words is "sixteen trillion, three hundred eighty-nine billion, seven hundred thirty-four million, four hundred thousand".