27959142386912 has 96 divisors (see below), whose sum is σ = 60541203824640. Its totient is φ = 12604514388480.

The previous prime is 27959142386899. The next prime is 27959142386951. The reversal of 27959142386912 is 21968324195972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138884153 + ... + 139085319.

It is an arithmetic number, because the mean of its divisors is an integer number (630637539840).

Almost surely, 2^{27959142386912} is an apocalyptic number.

27959142386912 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 27959142386912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270601912320).

27959142386912 is an abundant number, since it is smaller than the sum of its proper divisors (32582061437728).

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

27959142386912 is a wasteful number, since it uses less digits than its factorization.

27959142386912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204424 (or 204416 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 68.

The spelling of 27959142386912 in words is "twenty-seven trillion, nine hundred fifty-nine billion, one hundred forty-two million, three hundred eighty-six thousand, nine hundred twelve".