13766416560 has 960 divisors, whose sum is σ = 56416389120. Its totient is φ = 3090493440.

The previous prime is 13766416549. The next prime is 13766416597. The reversal of 13766416560 is 6561466731.

13766416560 is a `hidden beast` number, since 1 + 3 + 76 + 6 + 4 + 16 + 560 = 666.

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 191 ways as a sum of consecutive naturals, for example, 225678930 + ... + 225678990.

It is an arithmetic number, because the mean of its divisors is an integer number (58767072).

Almost surely, 2^13766416560 is an apocalyptic number.

13766416560 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 13766416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28208194560).

13766416560 is an abundant number, since it is smaller than the sum of its proper divisors (42649972560).

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

13766416560 is a wasteful number, since it uses less digits than its factorization.

13766416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13766416560 in words is "thirteen billion, seven hundred sixty-six million, four hundred sixteen thousand, five hundred sixty".