13485204576 has 144 divisors (see below), whose sum is σ = 40849964064. Its totient is φ = 4205064192.

The previous prime is 13485204563. The next prime is 13485204599. The reversal of 13485204576 is 67540258431.

13485204576 is a `hidden beast` number, since 13 + 4 + 8 + 520 + 45 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809386 + ... + 825878.

It is an arithmetic number, because the mean of its divisors is an integer number (283680306).

Almost surely, 2^13485204576 is an apocalyptic number.

13485204576 is a gapful number since it is divisible by the number (16) 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 13485204576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20424982032).

13485204576 is an abundant number, since it is smaller than the sum of its proper divisors (27364759488).

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

13485204576 is a wasteful number, since it uses less digits than its factorization.

13485204576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16693 (or 16682 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 13485204576 in words is "thirteen billion, four hundred eighty-five million, two hundred four thousand, five hundred seventy-six".