13135432395600 has 360 divisors, whose sum is σ = 45929345155200. Its totient is φ = 3476254878720.

The previous prime is 13135432395587. The next prime is 13135432395601. The reversal of 13135432395600 is 659323453131.

13135432395600 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 4 + 3 + 2 + 39 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135432395601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 656007189 + ... + 656027211.

It is an arithmetic number, because the mean of its divisors is an integer number (127581514320).

Almost surely, 2^{13135432395600} is an apocalyptic number.

13135432395600 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 13135432395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22964672577600).

13135432395600 is an abundant number, since it is smaller than the sum of its proper divisors (32793912759600).

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

13135432395600 is a wasteful number, since it uses less digits than its factorization.

13135432395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21419 (or 21405 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 13135432395600 in words is "thirteen trillion, one hundred thirty-five billion, four hundred thirty-two million, three hundred ninety-five thousand, six hundred".