13327286400 has 672 divisors, whose sum is σ = 51322580100. Its totient is φ = 3413975040.

The previous prime is 13327286393. The next prime is 13327286411. The reversal of 13327286400 is 468272331.

It is a happy number.

13327286400 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 7 + 2 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9156193344 + 4171093056 = 95688^2 + 64584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 67651102 + ... + 67651298.

Almost surely, 2^13327286400 is an apocalyptic number.

13327286400 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 13327286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25661290050).

13327286400 is an abundant number, since it is smaller than the sum of its proper divisors (37995293700).

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

13327286400 is an equidigital number, since it uses as much as digits as its factorization.

13327286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13327286400 in words is "thirteen billion, three hundred twenty-seven million, two hundred eighty-six thousand, four hundred".