78558288564 has 96 divisors (see below), whose sum is σ = 213566976000. Its totient is φ = 22012099200.

The previous prime is 78558288563. The next prime is 78558288577. The reversal of 78558288564 is 46588285587.

It is a junction number, because it is equal to n+sod(n) for n = 78558288495 and 78558288504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78558288563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949039 + ... + 1028489.

It is an arithmetic number, because the mean of its divisors is an integer number (2224656000).

Almost surely, 2^78558288564 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 78558288564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106783488000).

78558288564 is an abundant number, since it is smaller than the sum of its proper divisors (135008687436).

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

78558288564 is a wasteful number, since it uses less digits than its factorization.

78558288564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79693 (or 79691 counting only the distinct ones).

The product of its digits is 172032000, while the sum is 66.

The spelling of 78558288564 in words is "seventy-eight billion, five hundred fifty-eight million, two hundred eighty-eight thousand, five hundred sixty-four".