13380469200 has 270 divisors, whose sum is σ = 54015709254. Its totient is φ = 3058352640.

The previous prime is 13380469159. The next prime is 13380469217. The reversal of 13380469200 is 296408331.

13380469200 is a `hidden beast` number, since 13 + 380 + 4 + 69 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1382976 + 13379086224 = 1176^2 + 115668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 138474 + ... + 214326.

Almost surely, 2^13380469200 is an apocalyptic number.

13380469200 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 13380469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007854627).

13380469200 is an abundant number, since it is smaller than the sum of its proper divisors (40635240054).

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

13380469200 is a wasteful number, since it uses less digits than its factorization.

13380469200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75891 (or 75870 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13380469200 in words is "thirteen billion, three hundred eighty million, four hundred sixty-nine thousand, two hundred".