16319112318720 has 288 divisors, whose sum is σ = 58114847750400. Its totient is φ = 4336383430656.

The previous prime is 16319112318703. The next prime is 16319112318781. The reversal of 16319112318720 is 2781321191361.

16319112318720 is a `hidden beast` number, since 1 + 6 + 319 + 1 + 1 + 231 + 87 + 20 = 666.

16319112318720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8946211 + ... + 10614749.

It is an arithmetic number, because the mean of its divisors is an integer number (201787665800).

Almost surely, 2^{16319112318720} is an apocalyptic number.

16319112318720 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 16319112318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29057423875200).

16319112318720 is an abundant number, since it is smaller than the sum of its proper divisors (41795735431680).

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

16319112318720 is a wasteful number, since it uses less digits than its factorization.

16319112318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668852 (or 1668832 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 16319112318720 in words is "sixteen trillion, three hundred nineteen billion, one hundred twelve million, three hundred eighteen thousand, seven hundred twenty".