27985638107856 has 320 divisors, whose sum is σ = 87148132162560. Its totient is φ = 7624834560000.

The previous prime is 27985638107827. The next prime is 27985638107863. The reversal of 27985638107856 is 65870183658972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174121131 + ... + 174281781.

It is an arithmetic number, because the mean of its divisors is an integer number (272337913008).

Almost surely, 2^{27985638107856} is an apocalyptic number.

27985638107856 is a gapful number since it is divisible by the number (26) 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 27985638107856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43574066081280).

27985638107856 is an abundant number, since it is smaller than the sum of its proper divisors (59162494054704).

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

27985638107856 is a wasteful number, since it uses less digits than its factorization.

27985638107856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161346 (or 161340 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 75.

The spelling of 27985638107856 in words is "twenty-seven trillion, nine hundred eighty-five billion, six hundred thirty-eight million, one hundred seven thousand, eight hundred fifty-six".