13378051200 has 192 divisors, whose sum is σ = 45980539200. Its totient is φ = 3412316160.

The previous prime is 13378051199. The next prime is 13378051207. The reversal of 13378051200 is 215087331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13378051207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190506 + ... + 251094.

It is an arithmetic number, because the mean of its divisors is an integer number (239481975).

Almost surely, 2^13378051200 is an apocalyptic number.

13378051200 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 13378051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22990269600).

13378051200 is an abundant number, since it is smaller than the sum of its proper divisors (32602488000).

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

13378051200 is a wasteful number, since it uses less digits than its factorization.

13378051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60639 (or 60622 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 13378051200 in words is "thirteen billion, three hundred seventy-eight million, fifty-one thousand, two hundred".