13068417600 has 378 divisors, whose sum is σ = 54034545474. Its totient is φ = 2986905600.

The previous prime is 13068417511. The next prime is 13068417641. The reversal of 13068417600 is 671486031.

13068417600 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 8 + 41 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4248953856 + 8819463744 = 65184^2 + 93912^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 696340 + ... + 714860.

It is an arithmetic number, because the mean of its divisors is an integer number (142948533).

Almost surely, 2^13068417600 is an apocalyptic number.

13068417600 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 13068417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27017272737).

13068417600 is an abundant number, since it is smaller than the sum of its proper divisors (40966127874).

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

13068417600 is a wasteful number, since it uses less digits than its factorization.

13068417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18563 (or 18538 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13068417600 in words is "thirteen billion, sixty-eight million, four hundred seventeen thousand, six hundred".