27716818384320 has 448 divisors, whose sum is σ = 99887981397120. Its totient is φ = 6463045435392.

The previous prime is 27716818384309. The next prime is 27716818384337. The reversal of 27716818384320 is 2348381861772.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 18459282 + ... + 19904238.

It is an arithmetic number, because the mean of its divisors is an integer number (222964244190).

Almost surely, 2^{27716818384320} is an apocalyptic number.

27716818384320 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 27716818384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49943990698560).

27716818384320 is an abundant number, since it is smaller than the sum of its proper divisors (72171163012800).

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

27716818384320 is a wasteful number, since it uses less digits than its factorization.

27716818384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445072 (or 1445062 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 27716818384320 in words is "twenty-seven trillion, seven hundred sixteen billion, eight hundred eighteen million, three hundred eighty-four thousand, three hundred twenty".