13178216688 has 320 divisors, whose sum is σ = 44587146240. Its totient is φ = 3256713216.

The previous prime is 13178216663. The next prime is 13178216713. The reversal of 13178216688 is 88661287131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13178216663) and next prime (13178216713).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13178216688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8049406 + ... + 8051042.

It is an arithmetic number, because the mean of its divisors is an integer number (139334832).

Almost surely, 2^13178216688 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 13178216688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293573120).

13178216688 is an abundant number, since it is smaller than the sum of its proper divisors (31408929552).

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

13178216688 is a wasteful number, since it uses less digits than its factorization.

13178216688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The spelling of 13178216688 in words is "thirteen billion, one hundred seventy-eight million, two hundred sixteen thousand, six hundred eighty-eight".