13750560768 has 192 divisors, whose sum is σ = 42614208000. Its totient is φ = 3861430272.

The previous prime is 13750560757. The next prime is 13750560773. The reversal of 13750560768 is 86706505731.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2534763 + ... + 2540181.

It is an arithmetic number, because the mean of its divisors is an integer number (221949000).

Almost surely, 2^13750560768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13750560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21307104000).

13750560768 is an abundant number, since it is smaller than the sum of its proper divisors (28863647232).

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

13750560768 is an equidigital number, since it uses as much as digits as its factorization.

13750560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 13750560768 in words is "thirteen billion, seven hundred fifty million, five hundred sixty thousand, seven hundred sixty-eight".