12186087560640 has 1344 divisors, whose sum is σ = 50770326297600. Its totient is φ = 2724579016704.

The previous prime is 12186087560611. The next prime is 12186087560641. The reversal of 12186087560640 is 4606578068121.

12186087560640 is a `hidden beast` number, since 1 + 2 + 18 + 6 + 0 + 8 + 7 + 560 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12186087560641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7354306692 + ... + 7354308348.

It is an arithmetic number, because the mean of its divisors is an integer number (37775540400).

Almost surely, 2^{12186087560640} is an apocalyptic number.

12186087560640 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 12186087560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25385163148800).

12186087560640 is an abundant number, since it is smaller than the sum of its proper divisors (38584238736960).

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

12186087560640 is a wasteful number, since it uses less digits than its factorization.

12186087560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12186087560640 in words is "twelve trillion, one hundred eighty-six billion, eighty-seven million, five hundred sixty thousand, six hundred forty".