13178108160 has 1152 divisors, whose sum is σ = 58396262400. Its totient is φ = 2747105280.

The previous prime is 13178108143. The next prime is 13178108189. The reversal of 13178108160 is 6180187131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216034530 + ... + 216034590.

It is an arithmetic number, because the mean of its divisors is an integer number (50691200).

Almost surely, 2^13178108160 is an apocalyptic number.

13178108160 is a gapful number since it is divisible by the number (10) 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 13178108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198131200).

13178108160 is an abundant number, since it is smaller than the sum of its proper divisors (45218154240).

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

13178108160 is a wasteful number, since it uses less digits than its factorization.

13178108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 13178108160 in words is "thirteen billion, one hundred seventy-eight million, one hundred eight thousand, one hundred sixty".