27852648408576 has 800 divisors, whose sum is σ = 86506801210368. Its totient is φ = 8916188037120.

The previous prime is 27852648408553. The next prime is 27852648408601. The reversal of 27852648408576 is 67580484625872.

27852648408576 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 2 + 6 + 4 + 8 + 40 + 8 + 576 = 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 79 ways as a sum of consecutive naturals, for example, 43316715711 + ... + 43316716353.

Almost surely, 2^{27852648408576} 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 27852648408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43253400605184).

27852648408576 is an abundant number, since it is smaller than the sum of its proper divisors (58654152801792).

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

27852648408576 is an equidigital number, since it uses as much as digits as its factorization.

27852648408576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 27852648408576 in words is "twenty-seven trillion, eight hundred fifty-two billion, six hundred forty-eight million, four hundred eight thousand, five hundred seventy-six".