13876969633830 has 128 divisors (see below), whose sum is σ = 38294253360000. Its totient is φ = 3571711524864.

The previous prime is 13876969633829. The next prime is 13876969633861. The reversal of 13876969633830 is 3833696967831.

13876969633830 is a `hidden beast` number, since 1 + 3 + 8 + 76 + 96 + 96 + 3 + 383 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22948806 + ... + 23545734.

It is an arithmetic number, because the mean of its divisors is an integer number (299173854375).

Almost surely, 2^{13876969633830} is an apocalyptic number.

13876969633830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13876969633830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19147126680000).

13876969633830 is an abundant number, since it is smaller than the sum of its proper divisors (24417283726170).

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

13876969633830 is a wasteful number, since it uses less digits than its factorization.

13876969633830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599943 (or 599937 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 13876969633830 in words is "thirteen trillion, eight hundred seventy-six billion, nine hundred sixty-nine million, six hundred thirty-three thousand, eight hundred thirty".