13756082688 has 320 divisors, whose sum is σ = 43447219200. Its totient is φ = 4284887040.

The previous prime is 13756082663. The next prime is 13756082741. The reversal of 13756082688 is 88628065731.

13756082688 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 608 + 26 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21800133 + ... + 21800763.

It is an arithmetic number, because the mean of its divisors is an integer number (135772560).

Almost surely, 2^13756082688 is an apocalyptic number.

13756082688 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 13756082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21723609600).

13756082688 is an abundant number, since it is smaller than the sum of its proper divisors (29691136512).

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

13756082688 is an equidigital number, since it uses as much as digits as its factorization.

13756082688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 738 counting only the distinct ones).

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

The spelling of 13756082688 in words is "thirteen billion, seven hundred fifty-six million, eighty-two thousand, six hundred eighty-eight".