161712612956160 has 1152 divisors, whose sum is σ = 678597021648000. Its totient is φ = 34768850780160.

The previous prime is 161712612956137. The next prime is 161712612956171. The reversal of 161712612956160 is 61659216217161.

161712612956160 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 1 + 2 + 6 + 12 + 9 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 161712612956097 and 161712612956106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27647904916 + ... + 27647910764.

It is an arithmetic number, because the mean of its divisors is an integer number (589059914625).

Almost surely, 2^{161712612956160} is an apocalyptic number.

161712612956160 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 161712612956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339298510824000).

161712612956160 is an abundant number, since it is smaller than the sum of its proper divisors (516884408691840).

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

161712612956160 is a wasteful number, since it uses less digits than its factorization.

161712612956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 161712612956160 in words is "one hundred sixty-one trillion, seven hundred twelve billion, six hundred twelve million, nine hundred fifty-six thousand, one hundred sixty".