161081182080 has 768 divisors, whose sum is σ = 708268579200. Its totient is φ = 32811319296.

The previous prime is 161081182063. The next prime is 161081182081. The reversal of 161081182080 is 80281180161.

It is a happy number.

161081182080 is a `hidden beast` number, since 1 + 610 + 8 + 1 + 18 + 20 + 8 + 0 = 666.

It is a super-2 number, since 2×161081182080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161081182081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15195342 + ... + 15205938.

Almost surely, 2^161081182080 is an apocalyptic number.

161081182080 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 161081182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354134289600).

161081182080 is an abundant number, since it is smaller than the sum of its proper divisors (547187397120).

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

161081182080 is a wasteful number, since it uses less digits than its factorization.

161081182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10671 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The spelling of 161081182080 in words is "one hundred sixty-one billion, eighty-one million, one hundred eighty-two thousand, eighty".