161366585760 has 144 divisors (see below), whose sum is σ = 550889670240. Its totient is φ = 43013414400.

The previous prime is 161366585749. The next prime is 161366585767. The reversal of 161366585760 is 67585663161.

161366585760 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 6 + 65 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 161366585697 and 161366585706.

It is not an unprimeable number, because it can be changed into a prime (161366585767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3692035 + ... + 3735485.

It is an arithmetic number, because the mean of its divisors is an integer number (3825622710).

Almost surely, 2^161366585760 is an apocalyptic number.

161366585760 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 161366585760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275444835120).

161366585760 is an abundant number, since it is smaller than the sum of its proper divisors (389523084480).

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

161366585760 is a wasteful number, since it uses less digits than its factorization.

161366585760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46051 (or 46040 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 161366585760 in words is "one hundred sixty-one billion, three hundred sixty-six million, five hundred eighty-five thousand, seven hundred sixty".