13838556960 has 72 divisors (see below), whose sum is σ = 47224080540. Its totient is φ = 3690281472.

The previous prime is 13838556923. The next prime is 13838556973. The reversal of 13838556960 is 6965583831.

13838556960 is a `hidden beast` number, since 1 + 3 + 83 + 8 + 556 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13417978896 + 420578064 = 115836^2 + 20508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 13838556897 and 13838556906.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4803615 + ... + 4806494.

Almost surely, 2^13838556960 is an apocalyptic number.

13838556960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13838556960 is an abundant number, since it is smaller than the sum of its proper divisors (33385523580).

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

13838556960 is a wasteful number, since it uses less digits than its factorization.

13838556960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9610130 (or 9610119 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 13838556960 in words is "thirteen billion, eight hundred thirty-eight million, five hundred fifty-six thousand, nine hundred sixty".