27328759920 has 720 divisors, whose sum is σ = 118212808896. Its totient is φ = 5535129600.

The previous prime is 27328759849. The next prime is 27328759933. The reversal of 27328759920 is 2995782372.

27328759920 is a `hidden beast` number, since 2 + 7 + 3 + 28 + 7 + 599 + 20 = 666.

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

It is a super-2 number, since 2×27328759920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25002894 + ... + 25003986.

Almost surely, 2^27328759920 is an apocalyptic number.

27328759920 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 27328759920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59106404448).

27328759920 is an abundant number, since it is smaller than the sum of its proper divisors (90884048976).

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

27328759920 is a wasteful number, since it uses less digits than its factorization.

27328759920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 27328759920 in words is "twenty-seven billion, three hundred twenty-eight million, seven hundred fifty-nine thousand, nine hundred twenty".