13179170685440 has 320 divisors, whose sum is σ = 32813514657792. Its totient is φ = 5071218278400.

The previous prime is 13179170685397. The next prime is 13179170685469. The reversal of 13179170685440 is 4458607197131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×13179170685440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12758151164 + ... + 12758152196.

Almost surely, 2^{13179170685440} is an apocalyptic number.

13179170685440 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 13179170685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406757328896).

13179170685440 is an abundant number, since it is smaller than the sum of its proper divisors (19634343972352).

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

13179170685440 is a wasteful number, since it uses less digits than its factorization.

13179170685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 56.

The spelling of 13179170685440 in words is "thirteen trillion, one hundred seventy-nine billion, one hundred seventy million, six hundred eighty-five thousand, four hundred forty".