161688022080 has 448 divisors, whose sum is σ = 567776563200. Its totient is φ = 38732488704.

The previous prime is 161688022079. The next prime is 161688022099. The reversal of 161688022080 is 80220886161.

It is a super-2 number, since 2×161688022080² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269929621 + ... + 269930219.

It is an arithmetic number, because the mean of its divisors is an integer number (1267358400).

Almost surely, 2^161688022080 is an apocalyptic number.

161688022080 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 161688022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283888281600).

161688022080 is an abundant number, since it is smaller than the sum of its proper divisors (406088541120).

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

161688022080 is a wasteful number, since it uses less digits than its factorization.

161688022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 161688022080 in words is "one hundred sixty-one billion, six hundred eighty-eight million, twenty-two thousand, eighty".