13749442688520 has 384 divisors, whose sum is σ = 56252932669440. Its totient is φ = 2829288337920.

The previous prime is 13749442688519. The next prime is 13749442688537. The reversal of 13749442688520 is 2588624494731.

13749442688520 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 9 + 4 + 4 + 26 + 88 + 520 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 447337 + ... + 5262983.

It is an arithmetic number, because the mean of its divisors is an integer number (146492012160).

It is a 1-persistent number, because it is pandigital, but 2⋅13749442688520 = 27498885377040 is not.

Almost surely, 2^{13749442688520} is an apocalyptic number.

13749442688520 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 13749442688520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28126466334720).

13749442688520 is an abundant number, since it is smaller than the sum of its proper divisors (42503489980920).

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

13749442688520 is a wasteful number, since it uses less digits than its factorization.

13749442688520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815785 (or 4815778 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 13749442688520 in words is "thirteen trillion, seven hundred forty-nine billion, four hundred forty-two million, six hundred eighty-eight thousand, five hundred twenty".