27868216320 has 704 divisors, whose sum is σ = 116963942400. Its totient is φ = 6157762560.

The previous prime is 27868216301. The next prime is 27868216339. The reversal of 27868216320 is 2361286872.

27868216320 is a `hidden beast` number, since 2 + 7 + 8 + 6 + 8 + 2 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27868216301) and next prime (27868216339).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29997616 + ... + 29998544.

Almost surely, 2^27868216320 is an apocalyptic number.

27868216320 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 27868216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58481971200).

27868216320 is an abundant number, since it is smaller than the sum of its proper divisors (89095726080).

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

27868216320 is a wasteful number, since it uses less digits than its factorization.

27868216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27868216320 in words is "twenty-seven billion, eight hundred sixty-eight million, two hundred sixteen thousand, three hundred twenty".