13434551106600 has 192 divisors, whose sum is σ = 44856069652800. Its totient is φ = 3306572881920.

The previous prime is 13434551106589. The next prime is 13434551106631. The reversal of 13434551106600 is 660115543431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68378104 + ... + 68574296.

It is an arithmetic number, because the mean of its divisors is an integer number (233625362775).

Almost surely, 2^{13434551106600} is an apocalyptic number.

13434551106600 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 13434551106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22428034826400).

13434551106600 is an abundant number, since it is smaller than the sum of its proper divisors (31421518546200).

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

13434551106600 is a wasteful number, since it uses less digits than its factorization.

13434551106600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205004 (or 204995 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 13434551106600 in words is "thirteen trillion, four hundred thirty-four billion, five hundred fifty-one million, one hundred six thousand, six hundred".