13179386880 has 704 divisors, whose sum is σ = 52209308160. Its totient is φ = 3165143040.

The previous prime is 13179386873. The next prime is 13179386971. The reversal of 13179386880 is 8868397131.

13179386880 is a `hidden beast` number, since 13 + 179 + 386 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×13179386880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 123171787 + ... + 123171893.

Almost surely, 2^13179386880 is an apocalyptic number.

13179386880 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 13179386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26104654080).

13179386880 is an abundant number, since it is smaller than the sum of its proper divisors (39029921280).

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

13179386880 is an equidigital number, since it uses as much as digits as its factorization.

13179386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 13179386880 in words is "thirteen billion, one hundred seventy-nine million, three hundred eighty-six thousand, eight hundred eighty".