13179768576 has 144 divisors (see below), whose sum is σ = 38580777984. Its totient is φ = 3968888832.

The previous prime is 13179768559. The next prime is 13179768577. The reversal of 13179768576 is 67586797131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13179768577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455205 + ... + 483291.

Almost surely, 2^13179768576 is an apocalyptic number.

13179768576 is a gapful number since it is divisible by the number (16) 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 13179768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290388992).

13179768576 is an abundant number, since it is smaller than the sum of its proper divisors (25401009408).

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

13179768576 is a wasteful number, since it uses less digits than its factorization.

13179768576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28166 (or 28152 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 60.

The spelling of 13179768576 in words is "thirteen billion, one hundred seventy-nine million, seven hundred sixty-eight thousand, five hundred seventy-six".