13805434080 has 432 divisors, whose sum is σ = 49780785600. Its totient is φ = 3482210304.

The previous prime is 13805434063. The next prime is 13805434121. The reversal of 13805434080 is 8043450831.

13805434080 is a `hidden beast` number, since 1 + 38 + 0 + 543 + 4 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92653846 + ... + 92653994.

It is an arithmetic number, because the mean of its divisors is an integer number (115233300).

Almost surely, 2^13805434080 is an apocalyptic number.

13805434080 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 13805434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24890392800).

13805434080 is an abundant number, since it is smaller than the sum of its proper divisors (35975351520).

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

13805434080 is a wasteful number, since it uses less digits than its factorization.

13805434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13805434080 in words is "thirteen billion, eight hundred five million, four hundred thirty-four thousand, eighty".