13605397952000 has 160 divisors (see below), whose sum is σ = 33953981181120. Its totient is φ = 5437656268800.

The previous prime is 13605397951969. The next prime is 13605397952057. The reversal of 13605397952000 is 25979350631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 13605397952000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77800661 + ... + 77975339.

It is an arithmetic number, because the mean of its divisors is an integer number (212212382382).

Almost surely, 2^{13605397952000} is an apocalyptic number.

13605397952000 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 13605397952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16976990590560).

13605397952000 is an abundant number, since it is smaller than the sum of its proper divisors (20348583229120).

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

13605397952000 is an equidigital number, since it uses as much as digits as its factorization.

13605397952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175929 (or 175903 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 50.

The spelling of 13605397952000 in words is "thirteen trillion, six hundred five billion, three hundred ninety-seven million, nine hundred fifty-two thousand".