86409000235 has 24 divisors (see below), whose sum is σ = 105937944336. Its totient is φ = 67636732800.

The previous prime is 86409000229. The next prime is 86409000247. The reversal of 86409000235 is 53200090468.

86409000235 = T₂₄₀₀₁₁ + T₂₄₀₀₁₂ + T₂₄₀₀₁₃.

It is not a de Polignac number, because 86409000235 - 2⁷ = 86409000107 is a prime.

It is a super-2 number, since 2×86409000235² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86409000194 and 86409000203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82215460 + ... + 82216510.

It is an arithmetic number, because the mean of its divisors is an integer number (4414081014).

Almost surely, 2^86409000235 is an apocalyptic number.

86409000235 is the 240013-rd centered triangular number.

86409000235 is a deficient number, since it is larger than the sum of its proper divisors (19528944101).

86409000235 is an equidigital number, since it uses as much as digits as its factorization.

86409000235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 86409000235 in words is "eighty-six billion, four hundred nine million, two hundred thirty-five", and thus it is an aban number.