161708667120 has 1920 divisors, whose sum is σ = 786449664000. Its totient is φ = 29262643200.

The previous prime is 161708667119. The next prime is 161708667137. The reversal of 161708667120 is 21766807161.

161708667120 is a `hidden beast` number, since 1 + 617 + 0 + 8 + 6 + 6 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×161708667120² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 670990200 + ... + 670990440.

It is an arithmetic number, because the mean of its divisors is an integer number (409609200).

Almost surely, 2^161708667120 is an apocalyptic number.

161708667120 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 161708667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393224832000).

161708667120 is an abundant number, since it is smaller than the sum of its proper divisors (624740996880).

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

161708667120 is a wasteful number, since it uses less digits than its factorization.

161708667120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

It can be divided in two parts, 161708 and 667120, that added together give a palindrome (828828).

The spelling of 161708667120 in words is "one hundred sixty-one billion, seven hundred eight million, six hundred sixty-seven thousand, one hundred twenty".