13758439680 has 180 divisors, whose sum is σ = 49230584172. Its totient is φ = 3668889600.

The previous prime is 13758439661. The next prime is 13758439703. The reversal of 13758439680 is 8693485731.

It can be written as a sum of positive squares in 2 ways, for example, as 7440097536 + 6318342144 = 86256^2 + 79488^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 19 ways as a sum of consecutive naturals, for example, 37330 + ... + 170030.

Almost surely, 2^13758439680 is an apocalyptic number.

13758439680 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 13758439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24615292086).

13758439680 is an abundant number, since it is smaller than the sum of its proper divisors (35472144492).

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

13758439680 is an equidigital number, since it uses as much as digits as its factorization.

13758439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132734 (or 132711 counting only the distinct ones).

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

The spelling of 13758439680 in words is "thirteen billion, seven hundred fifty-eight million, four hundred thirty-nine thousand, six hundred eighty".