16119671310720 has 768 divisors, whose sum is σ = 59210742225600. Its totient is φ = 4144466165760.

The previous prime is 16119671310641. The next prime is 16119671310791. The reversal of 16119671310720 is 2701317691161.

16119671310720 is a `hidden beast` number, since 1 + 61 + 196 + 71 + 310 + 7 + 20 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4865579784 + ... + 4865583096.

Almost surely, 2^{16119671310720} is an apocalyptic number.

16119671310720 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 16119671310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29605371112800).

16119671310720 is an abundant number, since it is smaller than the sum of its proper divisors (43091070914880).

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

16119671310720 is a wasteful number, since it uses less digits than its factorization.

16119671310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 16119671310720 in words is "sixteen trillion, one hundred nineteen billion, six hundred seventy-one million, three hundred ten thousand, seven hundred twenty".