13730755584 has 176 divisors, whose sum is σ = 45043956608. Its totient is φ = 3621224448.

The previous prime is 13730755583. The next prime is 13730755613. The reversal of 13730755584 is 48555703731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13730755583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254994 + ... + 304110.

Almost surely, 2^13730755584 is an apocalyptic number.

13730755584 is a gapful number since it is divisible by the number (14) 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 13730755584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521978304).

13730755584 is an abundant number, since it is smaller than the sum of its proper divisors (31313201024).

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

13730755584 is a wasteful number, since it uses less digits than its factorization.

13730755584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49160 (or 49142 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 13730755584 in words is "thirteen billion, seven hundred thirty million, seven hundred fifty-five thousand, five hundred eighty-four".