13758493680 has 160 divisors (see below), whose sum is σ = 47516958720. Its totient is φ = 3659132160.

The previous prime is 13758493673. The next prime is 13758493699. The reversal of 13758493680 is 8639485731.

13758493680 is a `hidden beast` number, since 1 + 3 + 75 + 8 + 493 + 6 + 80 = 666.

13758493680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13758493680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818965 + ... + 835595.

It is an arithmetic number, because the mean of its divisors is an integer number (296980992).

Almost surely, 2^13758493680 is an apocalyptic number.

13758493680 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 13758493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758479360).

13758493680 is an abundant number, since it is smaller than the sum of its proper divisors (33758465040).

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

13758493680 is a wasteful number, since it uses less digits than its factorization.

13758493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17036 (or 17024 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13758493680 in words is "thirteen billion, seven hundred fifty-eight million, four hundred ninety-three thousand, six hundred eighty".