27860396838912 has 312 divisors, whose sum is σ = 88483181829120. Its totient is φ = 8376052285440.

The previous prime is 27860396838887. The next prime is 27860396838941. The reversal of 27860396838912 is 21983869306872.

27860396838912 is a `hidden beast` number, since 2 + 7 + 8 + 603 + 9 + 6 + 8 + 3 + 8 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51228514 + ... + 51769502.

It is an arithmetic number, because the mean of its divisors is an integer number (283599941760).

Almost surely, 2^{27860396838912} is an apocalyptic number.

27860396838912 is a gapful number since it is divisible by the number (22) 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 27860396838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241590914560).

27860396838912 is an abundant number, since it is smaller than the sum of its proper divisors (60622784990208).

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

27860396838912 is a wasteful number, since it uses less digits than its factorization.

27860396838912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541157 (or 541132 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 27860396838912 in words is "twenty-seven trillion, eight hundred sixty billion, three hundred ninety-six million, eight hundred thirty-eight thousand, nine hundred twelve".