16086917603328 has 1344 divisors, whose sum is σ = 54835147680768. Its totient is φ = 4132731617280.

The previous prime is 16086917603299. The next prime is 16086917603329. The reversal of 16086917603328 is 82330671968061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16086917603329) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 47735660376 + ... + 47735660712.

It is an arithmetic number, because the mean of its divisors is an integer number (40799961072).

Almost surely, 2^{16086917603328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16086917603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417573840384).

16086917603328 is an abundant number, since it is smaller than the sum of its proper divisors (38748230077440).

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

16086917603328 is a wasteful number, since it uses less digits than its factorization.

16086917603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 16086917603328 in words is "sixteen trillion, eighty-six billion, nine hundred seventeen million, six hundred three thousand, three hundred twenty-eight".