90160271289 has 81 divisors (see below), whose sum is σ = 149087518671. Its totient is φ = 54480444480.

The previous prime is 90160271281. The next prime is 90160271309. The reversal of 90160271289 is 98217206109.

The square root of 90160271289 is 300267.

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

90160271289 is a `hidden beast` number, since 90 + 16 + 0 + 271 + 289 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24312605625 + 65847665664 = 155925^2 + 256608^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 90160271289 - 2³ = 90160271281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90160271281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 267537729 + ... + 267538065.

Almost surely, 2^90160271289 is an apocalyptic number.

90160271289 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

90160271289 is the 300267-th square number.

90160271289 is the 150134-th centered octagonal number.

It is an amenable number.

90160271289 is a deficient number, since it is larger than the sum of its proper divisors (58927247382).

90160271289 is an frugal number, since it uses more digits than its factorization.

90160271289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 90160271289 in words is "ninety billion, one hundred sixty million, two hundred seventy-one thousand, two hundred eighty-nine".