16907119001960 has 256 divisors, whose sum is σ = 46716016412160. Its totient is φ = 5430378004480.

The previous prime is 16907119001947. The next prime is 16907119001963. The reversal of 16907119001960 is 6910091170961.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16907119001899 and 16907119001908.

It is not an unprimeable number, because it can be changed into a prime (16907119001963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8191004 + ... + 10045236.

It is an arithmetic number, because the mean of its divisors is an integer number (182484439110).

Almost surely, 2^{16907119001960} is an apocalyptic number.

16907119001960 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 16907119001960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23358008206080).

16907119001960 is an abundant number, since it is smaller than the sum of its proper divisors (29808897410200).

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

16907119001960 is a wasteful number, since it uses less digits than its factorization.

16907119001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854348 (or 1854344 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 50.

The spelling of 16907119001960 in words is "sixteen trillion, nine hundred seven billion, one hundred nineteen million, one thousand, nine hundred sixty".