12160685587050 has 1728 divisors, whose sum is σ = 45293261045760. Its totient is φ = 2270840832000.

The previous prime is 12160685587027. The next prime is 12160685587079. The reversal of 12160685587050 is 5078558606121.

12160685587050 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 0 + 6 + 8 + 5 + 587 + 0 + 50 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 44873378415 + ... + 44873378685.

It is an arithmetic number, because the mean of its divisors is an integer number (26211377920).

Almost surely, 2^{12160685587050} is an apocalyptic number.

12160685587050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12160685587050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22646630522880).

12160685587050 is an abundant number, since it is smaller than the sum of its proper divisors (33132575458710).

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

12160685587050 is a wasteful number, since it uses less digits than its factorization.

12160685587050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 12160685587050 in words is "twelve trillion, one hundred sixty billion, six hundred eighty-five million, five hundred eighty-seven thousand, fifty".