27870454656 has 288 divisors, whose sum is σ = 88725709800. Its totient is φ = 8390891520.

The previous prime is 27870454621. The next prime is 27870454679. The reversal of 27870454656 is 65645407872.

It is a happy number.

27870454656 is a `hidden beast` number, since 2 + 78 + 70 + 45 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24950610 + ... + 24951726.

Almost surely, 2^27870454656 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 27870454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44362854900).

27870454656 is an abundant number, since it is smaller than the sum of its proper divisors (60855255144).

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

27870454656 is a wasteful number, since it uses less digits than its factorization.

27870454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 27870454656 in words is "twenty-seven billion, eight hundred seventy million, four hundred fifty-four thousand, six hundred fifty-six".