161878682160 has 960 divisors, whose sum is σ = 638779115520. Its totient is φ = 36399144960.

The previous prime is 161878682159. The next prime is 161878682177. The reversal of 161878682160 is 61286878161.

It is a happy number.

161878682160 is a `hidden beast` number, since 1 + 618 + 7 + 8 + 6 + 8 + 2 + 16 + 0 = 666.

161878682160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 161878682097 and 161878682106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 894357270 + ... + 894357450.

It is an arithmetic number, because the mean of its divisors is an integer number (665394912).

Almost surely, 2^161878682160 is an apocalyptic number.

161878682160 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 161878682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319389557760).

161878682160 is an abundant number, since it is smaller than the sum of its proper divisors (476900433360).

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

161878682160 is a wasteful number, since it uses less digits than its factorization.

161878682160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 161878682160 in words is "one hundred sixty-one billion, eight hundred seventy-eight million, six hundred eighty-two thousand, one hundred sixty".