13361676800 has 240 divisors, whose sum is σ = 34489790280. Its totient is φ = 5125570560.

The previous prime is 13361676799. The next prime is 13361676817. The reversal of 13361676800 is 867616331.

It can be written as a sum of positive squares in 12 ways, for example, as 20502784 + 13341174016 = 4528^2 + 115504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42150242 + ... + 42150558.

Almost surely, 2^13361676800 is an apocalyptic number.

13361676800 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 13361676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244895140).

13361676800 is an abundant number, since it is smaller than the sum of its proper divisors (21128113480).

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

13361676800 is an equidigital number, since it uses as much as digits as its factorization.

13361676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 13361676800 in words is "thirteen billion, three hundred sixty-one million, six hundred seventy-six thousand, eight hundred".