13127514400 has 576 divisors, whose sum is σ = 43729701120. Its totient is φ = 3738009600.

The previous prime is 13127514397. The next prime is 13127514437. The reversal of 13127514400 is 441572131.

13127514400 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 (28).

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, 135335152 + ... + 135335248.

It is an arithmetic number, because the mean of its divisors is an integer number (75919620).

Almost surely, 2^13127514400 is an apocalyptic number.

13127514400 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 13127514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864850560).

13127514400 is an abundant number, since it is smaller than the sum of its proper divisors (30602186720).

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

13127514400 is a wasteful number, since it uses less digits than its factorization.

13127514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 13127514400 in words is "thirteen billion, one hundred twenty-seven million, five hundred fourteen thousand, four hundred".