13653284480 has 256 divisors, whose sum is σ = 37883289600. Its totient is φ = 4653158400.

The previous prime is 13653284467. The next prime is 13653284497. The reversal of 13653284480 is 8448235631.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13776785 + ... + 13777775.

It is an arithmetic number, because the mean of its divisors is an integer number (147981600).

Almost surely, 2^13653284480 is an apocalyptic number.

13653284480 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 13653284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941644800).

13653284480 is an abundant number, since it is smaller than the sum of its proper divisors (24230005120).

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

13653284480 is a wasteful number, since it uses less digits than its factorization.

13653284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 13653284480 in words is "thirteen billion, six hundred fifty-three million, two hundred eighty-four thousand, four hundred eighty".