13409504286200 has 192 divisors, whose sum is σ = 34118423424000. Its totient is φ = 4860850176000.

The previous prime is 13409504286179. The next prime is 13409504286223. The reversal of 13409504286200 is 268240590431.

13409504286200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3661899²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2775717785 + ... + 2775722615.

It is an arithmetic number, because the mean of its divisors is an integer number (177700122000).

Almost surely, 2^{13409504286200} is an apocalyptic number.

13409504286200 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 13409504286200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17059211712000).

13409504286200 is an abundant number, since it is smaller than the sum of its proper divisors (20708919137800).

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

13409504286200 is a wasteful number, since it uses less digits than its factorization.

13409504286200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 13409504286200 in words is "thirteen trillion, four hundred nine billion, five hundred four million, two hundred eighty-six thousand, two hundred".