13878129530880 has 1728 divisors, whose sum is σ = 54838736316000. Its totient is φ = 3355003846656.

The previous prime is 13878129530831. The next prime is 13878129530911. The reversal of 13878129530880 is 8803592187831.

13878129530880 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 8 + 12 + 9 + 530 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33122027311 + ... + 33122027729.

Almost surely, 2^{13878129530880} is an apocalyptic number.

13878129530880 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 13878129530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27419368158000).

13878129530880 is an abundant number, since it is smaller than the sum of its proper divisors (40960606785120).

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

13878129530880 is an frugal number, since it uses more digits than its factorization.

13878129530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 13878129530880 in words is "thirteen trillion, eight hundred seventy-eight billion, one hundred twenty-nine million, five hundred thirty thousand, eight hundred eighty".