13538399840 has 384 divisors, whose sum is σ = 40642560000. Its totient is φ = 4154996736.

The previous prime is 13538399779. The next prime is 13538399851. The reversal of 13538399840 is 4899383531.

13538399840 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, 68032061 + ... + 68032259.

It is an arithmetic number, because the mean of its divisors is an integer number (105840000).

Almost surely, 2^13538399840 is an apocalyptic number.

13538399840 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 13538399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280000).

13538399840 is an abundant number, since it is smaller than the sum of its proper divisors (27104160160).

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

13538399840 is a wasteful number, since it uses less digits than its factorization.

13538399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 13538399840 in words is "thirteen billion, five hundred thirty-eight million, three hundred ninety-nine thousand, eight hundred forty".