13827049300 has 36 divisors (see below), whose sum is σ = 30314045020. Its totient is φ = 5473797120.

The previous prime is 13827049289. The next prime is 13827049309. The reversal of 13827049300 is 394072831.

It can be written as a sum of positive squares in 6 ways, for example, as 111556 + 13826937744 = 334^2 + 117588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13827049300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827049309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703035 + ... + 722434.

Almost surely, 2^13827049300 is an apocalyptic number.

13827049300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13827049300 is an abundant number, since it is smaller than the sum of its proper divisors (16486995720).

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

13827049300 is a wasteful number, since it uses less digits than its factorization.

13827049300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425580 (or 1425573 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 13827049300 in words is "thirteen billion, eight hundred twenty-seven million, forty-nine thousand, three hundred".