161968110312960 has 1200 divisors, whose sum is σ = 678739961630016. Its totient is φ = 36806887047168.

The previous prime is 161968110312947. The next prime is 161968110313057. The reversal of 161968110312960 is 69213011869161.

161968110312960 is a `hidden beast` number, since 1 + 6 + 196 + 81 + 1 + 0 + 312 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 161968110312897 and 161968110312906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1757744649 + ... + 1757836791.

Almost surely, 2^{161968110312960} is an apocalyptic number.

161968110312960 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 161968110312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339369980815008).

161968110312960 is an abundant number, since it is smaller than the sum of its proper divisors (516771851317056).

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

161968110312960 is an equidigital number, since it uses as much as digits as its factorization.

161968110312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92365 (or 92333 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 161968110312960 in words is "one hundred sixty-one trillion, nine hundred sixty-eight billion, one hundred ten million, three hundred twelve thousand, nine hundred sixty".