78579499686912 has 704 divisors, whose sum is σ = 270468384624640. Its totient is φ = 22071999578112.

The previous prime is 78579499686871. The next prime is 78579499686917. The reversal of 78579499686912 is 21968699497587.

78579499686912 is a `hidden beast` number, since 7 + 8 + 57 + 9 + 499 + 6 + 8 + 69 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78579499686917) 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 63 ways as a sum of consecutive naturals, for example, 6781689183 + ... + 6781700769.

Almost surely, 2^{78579499686912} is an apocalyptic number.

78579499686912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78579499686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135234192312320).

78579499686912 is an abundant number, since it is smaller than the sum of its proper divisors (191888884937728).

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

78579499686912 is a wasteful number, since it uses less digits than its factorization.

78579499686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12189 counting only the distinct ones).

The product of its digits is 29628426240, while the sum is 90.

The spelling of 78579499686912 in words is "seventy-eight trillion, five hundred seventy-nine billion, four hundred ninety-nine million, six hundred eighty-six thousand, nine hundred twelve".