161481575767680 has 1536 divisors, whose sum is σ = 676335501803520. Its totient is φ = 34716841574400.

The previous prime is 161481575767679. The next prime is 161481575767769. The reversal of 161481575767680 is 86767575184161.

161481575767680 is a `hidden beast` number, since 1 + 6 + 1 + 48 + 1 + 5 + 7 + 576 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 161481575767599 and 161481575767608.

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, 84678329287 + ... + 84678331193.

It is an arithmetic number, because the mean of its divisors is an integer number (440322592320).

Almost surely, 2^{161481575767680} is an apocalyptic number.

161481575767680 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 161481575767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338167750901760).

161481575767680 is an abundant number, since it is smaller than the sum of its proper divisors (514853926035840).

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

161481575767680 is a wasteful number, since it uses less digits than its factorization.

161481575767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 72.

The spelling of 161481575767680 in words is "one hundred sixty-one trillion, four hundred eighty-one billion, five hundred seventy-five million, seven hundred sixty-seven thousand, six hundred eighty".