13286380800 has 1296 divisors, whose sum is σ = 59328980480. Its totient is φ = 2554675200.

The previous prime is 13286380777. The next prime is 13286380817. The reversal of 13286380800 is 808368231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 308985579 + ... + 308985621.

Almost surely, 2^13286380800 is an apocalyptic number.

13286380800 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 13286380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29664490240).

13286380800 is an abundant number, since it is smaller than the sum of its proper divisors (46042599680).

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

13286380800 is a wasteful number, since it uses less digits than its factorization.

13286380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 13286380800 in words is "thirteen billion, two hundred eighty-six million, three hundred eighty thousand, eight hundred".