13182442536960 has 1728 divisors, whose sum is σ = 51114613455360. Its totient is φ = 3251298631680.

The previous prime is 13182442536959. The next prime is 13182442536961. The reversal of 13182442536960 is 6963524428131.

It is a happy number.

13182442536960 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 2 + 4 + 42 + 536 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (13182442536959) and next prime (13182442536961).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13182442536897 and 13182442536906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13182442536961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216105615330 + ... + 216105615390.

It is an arithmetic number, because the mean of its divisors is an integer number (29580216120).

Almost surely, 2^{13182442536960} is an apocalyptic number.

13182442536960 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 13182442536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557306727680).

13182442536960 is an abundant number, since it is smaller than the sum of its proper divisors (37932170918400).

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

13182442536960 is an frugal number, since it uses more digits than its factorization.

13182442536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13182442536960 in words is "thirteen trillion, one hundred eighty-two billion, four hundred forty-two million, five hundred thirty-six thousand, nine hundred sixty".