13768086528 has 264 divisors, whose sum is σ = 45631265472. Its totient is φ = 3916726272.

The previous prime is 13768086523. The next prime is 13768086547. The reversal of 13768086528 is 82568086731.

13768086528 is a `hidden beast` number, since 1 + 37 + 6 + 8 + 0 + 86 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768086523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29481751 + ... + 29482217.

Almost surely, 2^13768086528 is an apocalyptic number.

13768086528 is a gapful number since it is divisible by the number (18) 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 13768086528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22815632736).

13768086528 is an abundant number, since it is smaller than the sum of its proper divisors (31863178944).

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

13768086528 is a wasteful number, since it uses less digits than its factorization.

13768086528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 13768086528 in words is "thirteen billion, seven hundred sixty-eight million, eighty-six thousand, five hundred twenty-eight".