78086142864 has 120 divisors (see below), whose sum is σ = 226724060160. Its totient is φ = 25058283264.

The previous prime is 78086142863. The next prime is 78086142887. The reversal of 78086142864 is 46824168087.

78086142864 is a `hidden beast` number, since 7 + 80 + 86 + 1 + 428 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 78086142864.

It is not an unprimeable number, because it can be changed into a prime (78086142863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422129 + ... + 1476015.

It is an arithmetic number, because the mean of its divisors is an integer number (1889367168).

Almost surely, 2^78086142864 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 78086142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113362030080).

78086142864 is an abundant number, since it is smaller than the sum of its proper divisors (148637917296).

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

78086142864 is a wasteful number, since it uses less digits than its factorization.

78086142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54277 (or 54268 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 78086142864 in words is "seventy-eight billion, eighty-six million, one hundred forty-two thousand, eight hundred sixty-four".