13612041360 has 320 divisors, whose sum is σ = 47898720000. Its totient is φ = 3552325632.

The previous prime is 13612041353. The next prime is 13612041361. The reversal of 13612041360 is 6314021631.

13612041360 is a `hidden beast` number, since 1 + 3 + 612 + 0 + 41 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13612041361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27278391 + ... + 27278889.

It is an arithmetic number, because the mean of its divisors is an integer number (149683500).

Almost surely, 2^13612041360 is an apocalyptic number.

13612041360 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 13612041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949360000).

13612041360 is an abundant number, since it is smaller than the sum of its proper divisors (34286678640).

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

13612041360 is a wasteful number, since it uses less digits than its factorization.

13612041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13612041360 its reverse (6314021631), we get a palindrome (19926062991).

The spelling of 13612041360 in words is "thirteen billion, six hundred twelve million, forty-one thousand, three hundred sixty".