13094406000 has 640 divisors, whose sum is σ = 52776622080. Its totient is φ = 3079296000.

The previous prime is 13094405999. The next prime is 13094406007. The reversal of 13094406000 is 60449031.

13094406000 is a `hidden beast` number, since 13 + 0 + 9 + 4 + 40 + 600 + 0 = 666.

13094406000 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13094406007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 16145595 + ... + 16146405.

It is an arithmetic number, because the mean of its divisors is an integer number (82463472).

Almost surely, 2^13094406000 is an apocalyptic number.

13094406000 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 13094406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26388311040).

13094406000 is an abundant number, since it is smaller than the sum of its proper divisors (39682216080).

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

13094406000 is a wasteful number, since it uses less digits than its factorization.

13094406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13094406000 in words is "thirteen billion, ninety-four million, four hundred six thousand".