161761104960 has 1792 divisors, whose sum is σ = 707877273600. Its totient is φ = 30996725760.

The previous prime is 161761104941. The next prime is 161761104977. The reversal of 161761104960 is 69401167161.

It is a super-3 number, since 3×161761104960³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3052096294 + ... + 3052096346.

It is an arithmetic number, because the mean of its divisors is an integer number (395020800).

Almost surely, 2^161761104960 is an apocalyptic number.

161761104960 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 161761104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353938636800).

161761104960 is an abundant number, since it is smaller than the sum of its proper divisors (546116168640).

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

161761104960 is a wasteful number, since it uses less digits than its factorization.

161761104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 161761104960 in words is "one hundred sixty-one billion, seven hundred sixty-one million, one hundred four thousand, nine hundred sixty".