13832010540 has 72 divisors (see below), whose sum is σ = 42041454000. Its totient is φ = 3681120384.

The previous prime is 13832010529. The next prime is 13832010541. The reversal of 13832010540 is 4501023831.

It is a happy number.

13832010540 is a `hidden beast` number, since 13 + 83 + 20 + 10 + 540 = 666.

It is not an unprimeable number, because it can be changed into a prime (13832010541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12822 + ... + 166818.

Almost surely, 2^13832010540 is an apocalyptic number.

13832010540 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 13832010540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21020727000).

13832010540 is an abundant number, since it is smaller than the sum of its proper divisors (28209443460).

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

13832010540 is a wasteful number, since it uses less digits than its factorization.

13832010540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154511 (or 154506 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13832010540 in words is "thirteen billion, eight hundred thirty-two million, ten thousand, five hundred forty".