13484783520 has 288 divisors, whose sum is σ = 52472910672. Its totient is φ = 3124002816.

The previous prime is 13484783513. The next prime is 13484783561. The reversal of 13484783520 is 2538748431.

13484783520 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 47 + 83 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1993801104 + 11490982416 = 44652^2 + 107196^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297054 + ... + 339426.

Almost surely, 2^13484783520 is an apocalyptic number.

13484783520 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 13484783520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26236455336).

13484783520 is an abundant number, since it is smaller than the sum of its proper divisors (38988127152).

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

13484783520 is a wasteful number, since it uses less digits than its factorization.

13484783520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42424 (or 42413 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 13484783520 in words is "thirteen billion, four hundred eighty-four million, seven hundred eighty-three thousand, five hundred twenty".