13853538480 has 160 divisors (see below), whose sum is σ = 44905697280. Its totient is φ = 3526364160.

The previous prime is 13853538463. The next prime is 13853538481. The reversal of 13853538480 is 8483535831.

13853538480 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 (48).

It is not an unprimeable number, because it can be changed into a prime (13853538481) 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 31 ways as a sum of consecutive naturals, for example, 2984001 + ... + 2988639.

It is an arithmetic number, because the mean of its divisors is an integer number (280660608).

Almost surely, 2^13853538480 is an apocalyptic number.

13853538480 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 13853538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22452848640).

13853538480 is an abundant number, since it is smaller than the sum of its proper divisors (31052158800).

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

13853538480 is a wasteful number, since it uses less digits than its factorization.

13853538480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 13853538480 in words is "thirteen billion, eight hundred fifty-three million, five hundred thirty-eight thousand, four hundred eighty".