13420285200 has 480 divisors, whose sum is σ = 57469337600. Its totient is φ = 2905735680.

The previous prime is 13420285183. The next prime is 13420285261. The reversal of 13420285200 is 258202431.

13420285200 is a `hidden beast` number, since 13 + 420 + 28 + 5 + 200 = 666.

13420285200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1431729 + ... + 1441071.

Almost surely, 2^13420285200 is an apocalyptic number.

13420285200 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 13420285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28734668800).

13420285200 is an abundant number, since it is smaller than the sum of its proper divisors (44049052400).

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

13420285200 is a wasteful number, since it uses less digits than its factorization.

13420285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13420285200 its reverse (258202431), we get a palindrome (13678487631).

The spelling of 13420285200 in words is "thirteen billion, four hundred twenty million, two hundred eighty-five thousand, two hundred".