13289146675200 has 1872 divisors, whose sum is σ = 55048187690496. Its totient is φ = 3150014054400.

The previous prime is 13289146675199. The next prime is 13289146675249. The reversal of 13289146675200 is 257664198231.

It is a happy number.

13289146675200 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 91 + 466 + 75 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12864613884 + ... + 12864614916.

It is an arithmetic number, because the mean of its divisors is an integer number (29406083168).

It is a 1-persistent number, because it is pandigital, but 2⋅13289146675200 = 26578293350400 is not.

Almost surely, 2^{13289146675200} is an apocalyptic number.

13289146675200 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 13289146675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27524093845248).

13289146675200 is an abundant number, since it is smaller than the sum of its proper divisors (41759041015296).

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

13289146675200 is a wasteful number, since it uses less digits than its factorization.

13289146675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13289146675200 in words is "thirteen trillion, two hundred eighty-nine billion, one hundred forty-six million, six hundred seventy-five thousand, two hundred".