27870093449856 has 2688 divisors, whose sum is σ = 106588179210240. Its totient is φ = 7211464888320.

The previous prime is 27870093449791. The next prime is 27870093449857. The reversal of 27870093449856 is 65894439007872.

27870093449856 is a `hidden beast` number, since 2 + 7 + 87 + 0 + 0 + 9 + 3 + 4 + 498 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is not an unprimeable number, because it can be changed into a prime (27870093449857) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 270583431501 + ... + 270583431603.

It is an arithmetic number, because the mean of its divisors is an integer number (39653340480).

Almost surely, 2^{27870093449856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27870093449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53294089605120).

27870093449856 is an abundant number, since it is smaller than the sum of its proper divisors (78718085760384).

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

27870093449856 is a wasteful number, since it uses less digits than its factorization.

27870093449856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 27870093449856 in words is "twenty-seven trillion, eight hundred seventy billion, ninety-three million, four hundred forty-nine thousand, eight hundred fifty-six".