16585748319360 has 1536 divisors, whose sum is σ = 64084698720000. Its totient is φ = 3628875120640.

The previous prime is 16585748319347. The next prime is 16585748319379. The reversal of 16585748319360 is 6391384758561.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 16585748319291 and 16585748319300.

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 191 ways as a sum of consecutive naturals, for example, 20501542636 + ... + 20501543444.

Almost surely, 2^{16585748319360} is an apocalyptic number.

16585748319360 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 16585748319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32042349360000).

16585748319360 is an abundant number, since it is smaller than the sum of its proper divisors (47498950400640).

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

16585748319360 is a wasteful number, since it uses less digits than its factorization.

16585748319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 16585748319360 in words is "sixteen trillion, five hundred eighty-five billion, seven hundred forty-eight million, three hundred nineteen thousand, three hundred sixty".