78206518012 has 108 divisors (see below), whose sum is σ = 164268082944. Its totient is φ = 32483324160.

The previous prime is 78206517989. The next prime is 78206518037. The reversal of 78206518012 is 21081560287.

It is a super-3 number, since 3×78206518012³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 102767712 + ... + 102768472.

It is an arithmetic number, because the mean of its divisors is an integer number (1521000768).

Almost surely, 2^78206518012 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 78206518012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82134041472).

78206518012 is an abundant number, since it is smaller than the sum of its proper divisors (86061564932).

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

78206518012 is a wasteful number, since it uses less digits than its factorization.

78206518012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 78206518012 in words is "seventy-eight billion, two hundred six million, five hundred eighteen thousand, twelve".