13399105536 has 336 divisors, whose sum is σ = 41219103744. Its totient is φ = 4347592704.

The previous prime is 13399105507. The next prime is 13399105553. The reversal of 13399105536 is 63550199331.

13399105536 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 9 + 105 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13399105491 and 13399105500.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 105504705 + ... + 105504831.

It is an arithmetic number, because the mean of its divisors is an integer number (122675904).

Almost surely, 2^13399105536 is an apocalyptic number.

13399105536 is a gapful number since it is divisible by the number (16) 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 13399105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609551872).

13399105536 is an abundant number, since it is smaller than the sum of its proper divisors (27819998208).

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

13399105536 is an frugal number, since it uses more digits than its factorization.

13399105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The spelling of 13399105536 in words is "thirteen billion, three hundred ninety-nine million, one hundred five thousand, five hundred thirty-six".