161719958873088 has 1584 divisors, whose sum is σ = 595243104648192. Its totient is φ = 41391171993600.

The previous prime is 161719958873041. The next prime is 161719958873089. The reversal of 161719958873088 is 880378859917161.

161719958873088 is a `hidden beast` number, since 1 + 6 + 17 + 19 + 9 + 588 + 7 + 3 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a junction number, because it is equal to n+sod(n) for n = 161719958872998 and 161719958873016.

It is not an unprimeable number, because it can be changed into a prime (161719958873089) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 170770811431 + ... + 170770812377.

It is an arithmetic number, because the mean of its divisors is an integer number (375784788288).

Almost surely, 2^{161719958873088} is an apocalyptic number.

161719958873088 is a gapful number since it is divisible by the number (18) 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 161719958873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297621552324096).

161719958873088 is an abundant number, since it is smaller than the sum of its proper divisors (433523145775104).

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

161719958873088 is a wasteful number, since it uses less digits than its factorization.

161719958873088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 81.

The spelling of 161719958873088 in words is "one hundred sixty-one trillion, seven hundred nineteen billion, nine hundred fifty-eight million, eight hundred seventy-three thousand, eighty-eight".