13483609920 has 840 divisors, whose sum is σ = 55644275808. Its totient is φ = 3073075200.

The previous prime is 13483609897. The next prime is 13483609921. The reversal of 13483609920 is 2990638431.

It is a happy number.

13483609920 is a `hidden beast` number, since 1 + 3 + 483 + 60 + 99 + 20 = 666.

13483609920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483609921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102928255 + ... + 102928385.

Almost surely, 2^13483609920 is an apocalyptic number.

13483609920 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 13483609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27822137904).

13483609920 is an abundant number, since it is smaller than the sum of its proper divisors (42160665888).

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

13483609920 is a wasteful number, since it uses less digits than its factorization.

13483609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13483609920 in words is "thirteen billion, four hundred eighty-three million, six hundred nine thousand, nine hundred twenty".