27839660856000 has 1792 divisors, whose sum is σ = 111662333952000. Its totient is φ = 6102480384000.

The previous prime is 27839660855977. The next prime is 27839660856019. The reversal of 27839660856000 is 65806693872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 32409383571 + ... + 32409384429.

Almost surely, 2^{27839660856000} is an apocalyptic number.

27839660856000 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 27839660856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55831166976000).

27839660856000 is an abundant number, since it is smaller than the sum of its proper divisors (83822673096000).

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

27839660856000 is a wasteful number, since it uses less digits than its factorization.

27839660856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 27839660856000 in words is "twenty-seven trillion, eight hundred thirty-nine billion, six hundred sixty million, eight hundred fifty-six thousand".