27648812505600 has 1920 divisors, whose sum is σ = 123079482408960. Its totient is φ = 5987229696000.

The previous prime is 27648812505581. The next prime is 27648812505647. The reversal of 27648812505600 is 650521884672.

27648812505600 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 8 + 8 + 1 + 25 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1532035777 + ... + 1532053823.

It is an arithmetic number, because the mean of its divisors is an integer number (64103897088).

Almost surely, 2^{27648812505600} is an apocalyptic number.

27648812505600 is a gapful number since it is divisible by the number (20) 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 27648812505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61539741204480).

27648812505600 is an abundant number, since it is smaller than the sum of its proper divisors (95430669903360).

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

27648812505600 is a wasteful number, since it uses less digits than its factorization.

27648812505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18139 (or 18112 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 27648812505600 in words is "twenty-seven trillion, six hundred forty-eight billion, eight hundred twelve million, five hundred five thousand, six hundred".