13539996288 has 640 divisors, whose sum is σ = 50426449920. Its totient is φ = 3511517184.

The previous prime is 13539996287. The next prime is 13539996289. The reversal of 13539996288 is 88269993531.

13539996288 is a `hidden beast` number, since 1 + 3 + 539 + 9 + 96 + 2 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13539996287) and next prime (13539996289).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13539996287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106614081 + ... + 106614207.

It is an arithmetic number, because the mean of its divisors is an integer number (78791328).

Almost surely, 2^13539996288 is an apocalyptic number.

13539996288 is a gapful number since it is divisible by the number (18) 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 13539996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25213224960).

13539996288 is an abundant number, since it is smaller than the sum of its proper divisors (36886453632).

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

13539996288 is a wasteful number, since it uses less digits than its factorization.

13539996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 13539996288 in words is "thirteen billion, five hundred thirty-nine million, nine hundred ninety-six thousand, two hundred eighty-eight".