13754875680 has 960 divisors, whose sum is σ = 60857153280. Its totient is φ = 2848628736.

The previous prime is 13754875657. The next prime is 13754875691. The reversal of 13754875680 is 8657845731.

It is a happy number.

13754875680 is a `hidden beast` number, since 1 + 3 + 75 + 4 + 8 + 7 + 568 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126191466 + ... + 126191574.

It is an arithmetic number, because the mean of its divisors is an integer number (63392868).

Almost surely, 2^13754875680 is an apocalyptic number.

13754875680 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 13754875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30428576640).

13754875680 is an abundant number, since it is smaller than the sum of its proper divisors (47102277600).

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

13754875680 is a wasteful number, since it uses less digits than its factorization.

13754875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 13754875680 in words is "thirteen billion, seven hundred fifty-four million, eight hundred seventy-five thousand, six hundred eighty".