13432685760 has 448 divisors, whose sum is σ = 51923289600. Its totient is φ = 3248861184.

The previous prime is 13432685719. The next prime is 13432685771. The reversal of 13432685760 is 6758623431.

13432685760 is a `hidden beast` number, since 13 + 4 + 3 + 2 + 68 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 6625867 + ... + 6627893.

It is an arithmetic number, because the mean of its divisors is an integer number (115900200).

Almost surely, 2^13432685760 is an apocalyptic number.

13432685760 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 13432685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25961644800).

13432685760 is an abundant number, since it is smaller than the sum of its proper divisors (38490603840).

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

13432685760 is a wasteful number, since it uses less digits than its factorization.

13432685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13432685760 in words is "thirteen billion, four hundred thirty-two million, six hundred eighty-five thousand, seven hundred sixty".