86510954368872 has 72 divisors (see below), whose sum is σ = 257536914805170. Its totient is φ = 26215440715200.

The previous prime is 86510954368837. The next prime is 86510954368879. The reversal of 86510954368872 is 27886345901568.

86510954368872 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 0 + 9 + 543 + 6 + 8 + 8 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58058822293956 + 28452132074916 = 7619634^2 + 5334054^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86510954368872.

It is not an unprimeable number, because it can be changed into a prime (86510954368879) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4965036879 + ... + 4965054302.

It is a 1-persistent number, because it is pandigital, but 2⋅86510954368872 = 173021908737744 is not.

Almost surely, 2^{86510954368872} is an apocalyptic number.

It is an amenable number.

86510954368872 is an abundant number, since it is smaller than the sum of its proper divisors (171025960436298).

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

86510954368872 is a wasteful number, since it uses less digits than its factorization.

86510954368872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930091215 (or 9930091197 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 86510954368872 in words is "eighty-six trillion, five hundred ten billion, nine hundred fifty-four million, three hundred sixty-eight thousand, eight hundred seventy-two".