27275616000 has 720 divisors, whose sum is σ = 107645297760. Its totient is φ = 6834585600.

The previous prime is 27275615971. The next prime is 27275616001. The reversal of 27275616000 is 61657272.

27275616000 is a `hidden beast` number, since 27 + 27 + 5 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27275616001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44063691 + ... + 44064309.

It is an arithmetic number, because the mean of its divisors is an integer number (149507358).

Almost surely, 2^27275616000 is an apocalyptic number.

27275616000 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 27275616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53822648880).

27275616000 is an abundant number, since it is smaller than the sum of its proper divisors (80369681760).

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

27275616000 is an equidigital number, since it uses as much as digits as its factorization.

27275616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 27275616000 in words is "twenty-seven billion, two hundred seventy-five million, six hundred sixteen thousand".