13705666560 has 560 divisors, whose sum is σ = 52238702736. Its totient is φ = 3439853568.

The previous prime is 13705666537. The next prime is 13705666573. The reversal of 13705666560 is 6566650731.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 806215672 + ... + 806215688.

Almost surely, 2^13705666560 is an apocalyptic number.

13705666560 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 13705666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26119351368).

13705666560 is an abundant number, since it is smaller than the sum of its proper divisors (38533036176).

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

13705666560 is an frugal number, since it uses more digits than its factorization.

13705666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13705666560 in words is "thirteen billion, seven hundred five million, six hundred sixty-six thousand, five hundred sixty".