161680576448160 has 1920 divisors, whose sum is σ = 716196486297600. Its totient is φ = 33370073210880.

The previous prime is 161680576448129. The next prime is 161680576448197. The reversal of 161680576448160 is 61844675086161.

161680576448160 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 8 + 0 + 576 + 4 + 48 + 16 + 0 = 666.

It is a super-2 number, since 2×161680576448160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110816021511 + ... + 110816022969.

It is an arithmetic number, because the mean of its divisors is an integer number (373019003280).

Almost surely, 2^{161680576448160} is an apocalyptic number.

161680576448160 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 161680576448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358098243148800).

161680576448160 is an abundant number, since it is smaller than the sum of its proper divisors (554515909849440).

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

161680576448160 is a wasteful number, since it uses less digits than its factorization.

161680576448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 161680576448160 in words is "one hundred sixty-one trillion, six hundred eighty billion, five hundred seventy-six million, four hundred forty-eight thousand, one hundred sixty".