86720237289 has 81 divisors (see below), whose sum is σ = 150154422327. Its totient is φ = 48087895968.

The previous prime is 86720237287. The next prime is 86720237309. The reversal of 86720237289 is 98273202768.

The square root of 86720237289 is 294483.

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

86720237289 is a `hidden beast` number, since 8 + 67 + 202 + 372 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77598459225 + 9121778064 = 278565^2 + 95508^2 .

It is not a de Polignac number, because 86720237289 - 2¹ = 86720237287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86720237281) 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, 228813102 + ... + 228813480.

Almost surely, 2^86720237289 is an apocalyptic number.

86720237289 is the 294483-rd square number.

86720237289 is the 147242-nd centered octagonal number.

It is an amenable number.

86720237289 is a deficient number, since it is larger than the sum of its proper divisors (63434185038).

86720237289 is an equidigital number, since it uses as much as digits as its factorization.

86720237289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 86720237289 in words is "eighty-six billion, seven hundred twenty million, two hundred thirty-seven thousand, two hundred eighty-nine".