78959586773424 has 640 divisors, whose sum is σ = 253578832773120. Its totient is φ = 20677541068800.

The previous prime is 78959586773371. The next prime is 78959586773429. The reversal of 78959586773424 is 42437768595987.

It is a super-4 number, since 4×78959586773424⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (78959586773429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17311900104 + ... + 17311904664.

It is an arithmetic number, because the mean of its divisors is an integer number (396216926208).

Almost surely, 2^{78959586773424} 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 78959586773424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126789416386560).

78959586773424 is an abundant number, since it is smaller than the sum of its proper divisors (174619245999696).

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

78959586773424 is a wasteful number, since it uses less digits than its factorization.

78959586773424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5323 counting only the distinct ones).

The product of its digits is 25604812800, while the sum is 84.

The spelling of 78959586773424 in words is "seventy-eight trillion, nine hundred fifty-nine billion, five hundred eighty-six million, seven hundred seventy-three thousand, four hundred twenty-four".