13753869534720 has 1280 divisors, whose sum is σ = 57943537090560. Its totient is φ = 3027057868800.

The previous prime is 13753869534719. The next prime is 13753869534737. The reversal of 13753869534720 is 2743596835731.

13753869534720 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 38 + 69 + 534 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1477158865 + ... + 1477168175.

It is an arithmetic number, because the mean of its divisors is an integer number (45268388352).

It is a 1-persistent number, because it is pandigital, but 2⋅13753869534720 = 27507739069440 is not.

Almost surely, 2^{13753869534720} is an apocalyptic number.

13753869534720 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 13753869534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28971768545280).

13753869534720 is an abundant number, since it is smaller than the sum of its proper divisors (44189667555840).

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

13753869534720 is an equidigital number, since it uses as much as digits as its factorization.

13753869534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 13753869534720 in words is "thirteen trillion, seven hundred fifty-three billion, eight hundred sixty-nine million, five hundred thirty-four thousand, seven hundred twenty".