13601280000000 has 2048 divisors, whose sum is σ = 58981349007360. Its totient is φ = 2703360000000.

The previous prime is 13601279999999. The next prime is 13601280000001. The reversal of 13601280000000 is 8210631.

It is an interprime number because it is at equal distance from previous prime (13601279999999) and next prime (13601280000001).

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13601280000001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 591359999989 + ... + 591360000011.

It is an arithmetic number, because the mean of its divisors is an integer number (28799486820).

Almost surely, 2^{13601280000000} is an apocalyptic number.

13601280000000 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 13601280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29490674503680).

13601280000000 is an abundant number, since it is smaller than the sum of its proper divisors (45380069007360).

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

13601280000000 is an frugal number, since it uses more digits than its factorization.

13601280000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13601280000000 its reverse (8210631), we get a palindrome (13601288210631).

The spelling of 13601280000000 in words is "thirteen trillion, six hundred one billion, two hundred eighty million", and thus it is an aban number.