27238975920 has 320 divisors, whose sum is σ = 101278517760. Its totient is φ = 6689184768.

The previous prime is 27238975847. The next prime is 27238975927. The reversal of 27238975920 is 2957983272.

27238975920 is a `hidden beast` number, since 27 + 23 + 8 + 9 + 7 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27238975927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15808179 + ... + 15809901.

It is an arithmetic number, because the mean of its divisors is an integer number (316495368).

Almost surely, 2^27238975920 is an apocalyptic number.

27238975920 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 27238975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50639258880).

27238975920 is an abundant number, since it is smaller than the sum of its proper divisors (74039541840).

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

27238975920 is a wasteful number, since it uses less digits than its factorization.

27238975920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2309 counting only the distinct ones).

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

The spelling of 27238975920 in words is "twenty-seven billion, two hundred thirty-eight million, nine hundred seventy-five thousand, nine hundred twenty".