27859889113056 has 1536 divisors, whose sum is σ = 111631131279360. Its totient is φ = 6525917798400.

The previous prime is 27859889112911. The next prime is 27859889113079. The reversal of 27859889113056 is 65031198895872.

27859889113056 is a `hidden beast` number, since 27 + 8 + 598 + 8 + 9 + 1 + 1 + 3 + 0 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12055338141 + ... + 12055340451.

It is an arithmetic number, because the mean of its divisors is an integer number (72676517760).

Almost surely, 2^{27859889113056} is an apocalyptic number.

27859889113056 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 27859889113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55815565639680).

27859889113056 is an abundant number, since it is smaller than the sum of its proper divisors (83771242166304).

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

27859889113056 is a wasteful number, since it uses less digits than its factorization.

27859889113056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 27859889113056 in words is "twenty-seven trillion, eight hundred fifty-nine billion, eight hundred eighty-nine million, one hundred thirteen thousand, fifty-six".