13089605810400 has 2304 divisors, whose sum is σ = 59936163840000. Its totient is φ = 2689306583040.

The previous prime is 13089605810399. The next prime is 13089605810417. The reversal of 13089605810400 is 401850698031.

13089605810400 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 9 + 60 + 581 + 0 + 4 + 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 383 ways as a sum of consecutive naturals, for example, 4915359469 + ... + 4915362131.

It is an arithmetic number, because the mean of its divisors is an integer number (26013960000).

Almost surely, 2^{13089605810400} is an apocalyptic number.

13089605810400 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 13089605810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29968081920000).

13089605810400 is an abundant number, since it is smaller than the sum of its proper divisors (46846558029600).

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

13089605810400 is a wasteful number, since it uses less digits than its factorization.

13089605810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13089605810400 in words is "thirteen trillion, eighty-nine billion, six hundred five million, eight hundred ten thousand, four hundred".