13752109560 has 256 divisors, whose sum is σ = 49996800000. Its totient is φ = 2955999744.

The previous prime is 13752109537. The next prime is 13752109571. The reversal of 13752109560 is 6590125731.

13752109560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2215341 + ... + 2221539.

It is an arithmetic number, because the mean of its divisors is an integer number (195300000).

Almost surely, 2^13752109560 is an apocalyptic number.

13752109560 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 13752109560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400000).

13752109560 is an abundant number, since it is smaller than the sum of its proper divisors (36244690440).

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

13752109560 is a wasteful number, since it uses less digits than its factorization.

13752109560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 13752109560 in words is "thirteen billion, seven hundred fifty-two million, one hundred nine thousand, five hundred sixty".