161775567360 has 1440 divisors, whose sum is σ = 682602560640. Its totient is φ = 36219617280.

The previous prime is 161775567319. The next prime is 161775567361. The reversal of 161775567360 is 63765577161.

161775567360 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 75 + 567 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 161775567297 and 161775567306.

It is not an unprimeable number, because it can be changed into a prime (161775567361) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5578467826 + ... + 5578467854.

It is an arithmetic number, because the mean of its divisors is an integer number (474029556).

Almost surely, 2^161775567360 is an apocalyptic number.

161775567360 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 161775567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341301280320).

161775567360 is an abundant number, since it is smaller than the sum of its proper divisors (520826993280).

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

161775567360 is a wasteful number, since it uses less digits than its factorization.

161775567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 161775567360 in words is "one hundred sixty-one billion, seven hundred seventy-five million, five hundred sixty-seven thousand, three hundred sixty".