27820739520 has 560 divisors, whose sum is σ = 113746288128. Its totient is φ = 6348948480.

The previous prime is 27820739491. The next prime is 27820739521. The reversal of 27820739520 is 2593702872.

27820739520 is a `hidden beast` number, since 2 + 78 + 20 + 7 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27820739521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44089605 + ... + 44090235.

Almost surely, 2^27820739520 is an apocalyptic number.

27820739520 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 27820739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56873144064).

27820739520 is an abundant number, since it is smaller than the sum of its proper divisors (85925548608).

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

27820739520 is an frugal number, since it uses more digits than its factorization.

27820739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27820739520 in words is "twenty-seven billion, eight hundred twenty million, seven hundred thirty-nine thousand, five hundred twenty".