27323013120 has 384 divisors, whose sum is σ = 97217003520. Its totient is φ = 6505758720.

The previous prime is 27323013101. The next prime is 27323013121. The reversal of 27323013120 is 2131032372.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27323013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12379057 + ... + 12381263.

It is an arithmetic number, because the mean of its divisors is an integer number (253169280).

Almost surely, 2^27323013120 is an apocalyptic number.

27323013120 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 27323013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48608501760).

27323013120 is an abundant number, since it is smaller than the sum of its proper divisors (69893990400).

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

27323013120 is a wasteful number, since it uses less digits than its factorization.

27323013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 27323013120 its reverse (2131032372), we get a palindrome (29454045492).

The spelling of 27323013120 in words is "twenty-seven billion, three hundred twenty-three million, thirteen thousand, one hundred twenty".