78659306158080 has 384 divisors, whose sum is σ = 271644441868800. Its totient is φ = 19371962007552.

The previous prime is 78659306158079. The next prime is 78659306158129. The reversal of 78659306158080 is 8085160395687.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18570807 + ... + 22409673.

It is an arithmetic number, because the mean of its divisors is an integer number (707407400700).

Almost surely, 2^{78659306158080} 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 78659306158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135822220934400).

78659306158080 is an abundant number, since it is smaller than the sum of its proper divisors (192985135710720).

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

78659306158080 is a wasteful number, since it uses less digits than its factorization.

78659306158080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838949 (or 3838929 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 78659306158080 in words is "seventy-eight trillion, six hundred fifty-nine billion, three hundred six million, one hundred fifty-eight thousand, eighty".