27791023216320 has 896 divisors, whose sum is σ = 120732811315200. Its totient is φ = 5860320067584.

The previous prime is 27791023216309. The next prime is 27791023216331. The reversal of 27791023216320 is 2361232019772.

27791023216320 is a `hidden beast` number, since 2 + 7 + 7 + 9 + 1 + 0 + 2 + 3 + 2 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27791023216309) and next prime (27791023216331).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1562249986 + ... + 1562267774.

It is an arithmetic number, because the mean of its divisors is an integer number (134746441200).

Almost surely, 2^{27791023216320} is an apocalyptic number.

27791023216320 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 27791023216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60366405657600).

27791023216320 is an abundant number, since it is smaller than the sum of its proper divisors (92941788098880).

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

27791023216320 is a wasteful number, since it uses less digits than its factorization.

27791023216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19822 (or 19806 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 27791023216320 in words is "twenty-seven trillion, seven hundred ninety-one billion, twenty-three million, two hundred sixteen thousand, three hundred twenty".