86004107008263 has 24 divisors (see below), whose sum is σ = 128518090895376. Its totient is φ = 55383792624000.

The previous prime is 86004107008249. The next prime is 86004107008277. The reversal of 86004107008263 is 36280070140068.

86004107008263 is a `hidden beast` number, since 8 + 600 + 4 + 10 + 7 + 0 + 0 + 8 + 26 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (86004107008249) and next prime (86004107008277).

It is not a de Polignac number, because 86004107008263 - 2²⁶ = 86004039899399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86004107008243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153791745 + ... + 1153866282.

It is an arithmetic number, because the mean of its divisors is an integer number (5354920453974).

Almost surely, 2^{86004107008263} is an apocalyptic number.

86004107008263 is a deficient number, since it is larger than the sum of its proper divisors (42513983887113).

86004107008263 is a wasteful number, since it uses less digits than its factorization.

86004107008263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307658175 (or 2307658172 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 86004107008263 in words is "eighty-six trillion, four billion, one hundred seven million, eight thousand, two hundred sixty-three".