13379578129872 has 280 divisors, whose sum is σ = 40148056693248. Its totient is φ = 4313015942400.

The previous prime is 13379578129861. The next prime is 13379578129909. The reversal of 13379578129872 is 27892187597331.

It is a happy number.

13379578129872 is a `hidden beast` number, since 1 + 3 + 37 + 9 + 578 + 12 + 9 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×13379578129872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13379578129872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 557912122 + ... + 557936102.

Almost surely, 2^{13379578129872} is an apocalyptic number.

13379578129872 is a gapful number since it is divisible by the number (12) 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 13379578129872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20074028346624).

13379578129872 is an abundant number, since it is smaller than the sum of its proper divisors (26768478563376).

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

13379578129872 is a wasteful number, since it uses less digits than its factorization.

13379578129872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25581 (or 25560 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 72.

The spelling of 13379578129872 in words is "thirteen trillion, three hundred seventy-nine billion, five hundred seventy-eight million, one hundred twenty-nine thousand, eight hundred seventy-two".