16089408000000 has 728 divisors, whose sum is σ = 59588762254080. Its totient is φ = 4290048000000.

The previous prime is 16089407999981. The next prime is 16089408000073. The reversal of 16089408000000 is 80498061.

It is a happy number.

16089408000000 is a `hidden beast` number, since 1 + 608 + 9 + 40 + 8 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1727995345 + ... + 1728004655.

Almost surely, 2^{16089408000000} is an apocalyptic number.

16089408000000 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 16089408000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29794381127040).

16089408000000 is an abundant number, since it is smaller than the sum of its proper divisors (43499354254080).

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

16089408000000 is an frugal number, since it uses more digits than its factorization.

16089408000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 16089408000000 its reverse (80498061), we get a palindrome (16089488498061).

The spelling of 16089408000000 in words is "sixteen trillion, eighty-nine billion, four hundred eight million", and thus it is an aban number.