27985139712000 has 1440 divisors, whose sum is σ = 106704058878144. Its totient is φ = 7314997248000.

The previous prime is 27985139711891. The next prime is 27985139712001. The reversal of 27985139712000 is 21793158972.

It is a happy number.

27985139712000 is a `hidden beast` number, since 27 + 9 + 8 + 513 + 97 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (27985139712001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26376191470 + ... + 26376192530.

Almost surely, 2^{27985139712000} is an apocalyptic number.

27985139712000 is a gapful number since it is divisible by the number (20) 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 27985139712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352029439072).

27985139712000 is an abundant number, since it is smaller than the sum of its proper divisors (78718919166144).

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

27985139712000 is an frugal number, since it uses more digits than its factorization.

27985139712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 27985139712000 in words is "twenty-seven trillion, nine hundred eighty-five billion, one hundred thirty-nine million, seven hundred twelve thousand".