78506588160 has 2304 divisors, whose sum is σ = 391509780480. Its totient is φ = 14014218240.

The previous prime is 78506588119. The next prime is 78506588177. The reversal of 78506588160 is 6188560587.

78506588160 is a `hidden beast` number, since 7 + 8 + 50 + 6 + 588 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 78506588097 and 78506588106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2121799662 + ... + 2121799698.

It is an arithmetic number, because the mean of its divisors is an integer number (169926120).

Almost surely, 2^78506588160 is an apocalyptic number.

78506588160 is a gapful number since it is divisible by the number (70) 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 78506588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195754890240).

78506588160 is an abundant number, since it is smaller than the sum of its proper divisors (313003192320).

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

78506588160 is a wasteful number, since it uses less digits than its factorization.

78506588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

It can be divided in two parts, 78506 and 588160, that added together give a palindrome (666666).

The spelling of 78506588160 in words is "seventy-eight billion, five hundred six million, five hundred eighty-eight thousand, one hundred sixty".