160071207921 has 27 divisors (see below), whose sum is σ = 232755011307. Its totient is φ = 106007581440.

The previous prime is 160071207899. The next prime is 160071207949. The reversal of 160071207921 is 129702170061.

It is a happy number.

The square root of 160071207921 is 400089.

It is a perfect power (a square), and thus also a powerful number.

160071207921 is a `hidden beast` number, since 1 + 600 + 7 + 1 + 20 + 7 + 9 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38783394225 + 121287813696 = 196935^2 + 348264^2 .

It is not a de Polignac number, because 160071207921 - 2²³ = 160062819313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (160071207971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 231651186 + ... + 231651876.

Almost surely, 2^160071207921 is an apocalyptic number.

160071207921 is the 400089-th square number.

160071207921 is the 200045-th centered octagonal number.

It is an amenable number.

160071207921 is a deficient number, since it is larger than the sum of its proper divisors (72683803386).

160071207921 is an frugal number, since it uses more digits than its factorization.

160071207921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Multiplying 160071207921 by its sum of digits (36), we get a square (5762563485156 = 2400534²).

Adding to 160071207921 its reverse (129702170061), we get a palindrome (289773377982).

The spelling of 160071207921 in words is "one hundred sixty billion, seventy-one million, two hundred seven thousand, nine hundred twenty-one".