13571604610560 has 480 divisors, whose sum is σ = 48028627801440. Its totient is φ = 3540466335744.

The previous prime is 13571604610547. The next prime is 13571604610583. The reversal of 13571604610560 is 6501640617531.

13571604610560 is a `hidden beast` number, since 1 + 3 + 5 + 71 + 6 + 0 + 4 + 6 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423712626 + ... + 423744654.

It is an arithmetic number, because the mean of its divisors is an integer number (100059641253).

Almost surely, 2^{13571604610560} is an apocalyptic number.

13571604610560 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 13571604610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014313900720).

13571604610560 is an abundant number, since it is smaller than the sum of its proper divisors (34457023190880).

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

13571604610560 is a wasteful number, since it uses less digits than its factorization.

13571604610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32458 (or 32439 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13571604610560 in words is "thirteen trillion, five hundred seventy-one billion, six hundred four million, six hundred ten thousand, five hundred sixty".