86404123296 has 72 divisors (see below), whose sum is σ = 260165371284. Its totient is φ = 27107174400.

The previous prime is 86404123291. The next prime is 86404123301. The reversal of 86404123296 is 69232140468.

86404123296 is a `hidden beast` number, since 8 + 6 + 404 + 1 + 232 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (86404123291) and next prime (86404123301).

It can be written as a sum of positive squares in 2 ways, for example, as 71577651600 + 14826471696 = 267540^2 + 121764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×86404123296³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86404123291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8819055 + ... + 8828846.

Almost surely, 2^86404123296 is an apocalyptic number.

It is an amenable number.

86404123296 is an abundant number, since it is smaller than the sum of its proper divisors (173761247988).

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

86404123296 is a wasteful number, since it uses less digits than its factorization.

86404123296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17647934 (or 17647923 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 86404123296 in words is "eighty-six billion, four hundred four million, one hundred twenty-three thousand, two hundred ninety-six".