161089917120 has 336 divisors, whose sum is σ = 630736733952. Its totient is φ = 37354014720.

The previous prime is 161089917103. The next prime is 161089917133. The reversal of 161089917120 is 21719980161.

It is a happy number.

161089917120 is a `hidden beast` number, since 1 + 610 + 8 + 9 + 9 + 1 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×161089917120² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618099 + ... + 839181.

Almost surely, 2^161089917120 is an apocalyptic number.

161089917120 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 161089917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315368366976).

161089917120 is an abundant number, since it is smaller than the sum of its proper divisors (469646816832).

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

161089917120 is a wasteful number, since it uses less digits than its factorization.

161089917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221140 (or 221127 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 161089917120 in words is "one hundred sixty-one billion, eighty-nine million, nine hundred seventeen thousand, one hundred twenty".