13407189745600 has 168 divisors, whose sum is σ = 37706137500960. Its totient is φ = 4596360069120.

The previous prime is 13407189745549. The next prime is 13407189745633. The reversal of 13407189745600 is 654798170431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152018316 + ... + 152106484.

Almost surely, 2^{13407189745600} is an apocalyptic number.

13407189745600 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 13407189745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18853068750480).

13407189745600 is an abundant number, since it is smaller than the sum of its proper divisors (24298947755360).

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

13407189745600 is a wasteful number, since it uses less digits than its factorization.

13407189745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101775 (or 101760 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 13407189745600 in words is "thirteen trillion, four hundred seven billion, one hundred eighty-nine million, seven hundred forty-five thousand, six hundred".