86761278864 has 120 divisors (see below), whose sum is σ = 263803558200. Its totient is φ = 26459467776.

The previous prime is 86761278847. The next prime is 86761278869. The reversal of 86761278864 is 46887216768.

86761278864 is a `hidden beast` number, since 8 + 6 + 7 + 612 + 7 + 8 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3159339264 + 83601939600 = 56208^2 + 289140^2 .

It is not an unprimeable number, because it can be changed into a prime (86761278869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6462 + ... + 416610.

It is an arithmetic number, because the mean of its divisors is an integer number (2198362985).

Almost surely, 2^86761278864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86761278864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131901779100).

86761278864 is an abundant number, since it is smaller than the sum of its proper divisors (177042279336).

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

86761278864 is a wasteful number, since it uses less digits than its factorization.

86761278864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410289 (or 410280 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 86761278864 in words is "eighty-six billion, seven hundred sixty-one million, two hundred seventy-eight thousand, eight hundred sixty-four".