161009028180 has 480 divisors, whose sum is σ = 678171352320. Its totient is φ = 30882539520.

The previous prime is 161009028157. The next prime is 161009028199. The reversal of 161009028180 is 81820900161.

161009028180 is a `hidden beast` number, since 1 + 610 + 0 + 9 + 0 + 28 + 18 + 0 = 666.

161009028180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161009028180² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1571976 + ... + 1671264.

It is an arithmetic number, because the mean of its divisors is an integer number (1412856984).

Almost surely, 2^161009028180 is an apocalyptic number.

161009028180 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 161009028180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339085676160).

161009028180 is an abundant number, since it is smaller than the sum of its proper divisors (517162324140).

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

161009028180 is a wasteful number, since it uses less digits than its factorization.

161009028180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99341 (or 99330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 161009028180 in words is "one hundred sixty-one billion, nine million, twenty-eight thousand, one hundred eighty".