13630289904000 has 2304 divisors, whose sum is σ = 63783468403200. Its totient is φ = 2831583744000.

The previous prime is 13630289903999. The next prime is 13630289904013. The reversal of 13630289904000 is 40998203631.

It is a happy number.

13630289904000 is a `hidden beast` number, since 1 + 3 + 630 + 2 + 8 + 9 + 9 + 0 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3293133931 + ... + 3293138069.

It is an arithmetic number, because the mean of its divisors is an integer number (27683797050).

Almost surely, 2^{13630289904000} is an apocalyptic number.

13630289904000 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 13630289904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891734201600).

13630289904000 is an abundant number, since it is smaller than the sum of its proper divisors (50153178499200).

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

13630289904000 is an equidigital number, since it uses as much as digits as its factorization.

13630289904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13630289904000 in words is "thirteen trillion, six hundred thirty billion, two hundred eighty-nine million, nine hundred four thousand".