27212008320 has 1280 divisors, whose sum is σ = 119431065600. Its totient is φ = 5772902400.

The previous prime is 27212008283. The next prime is 27212008381. The reversal of 27212008320 is 2380021272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 461220451 + ... + 461220509.

It is an arithmetic number, because the mean of its divisors is an integer number (93305520).

Almost surely, 2^27212008320 is an apocalyptic number.

27212008320 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 27212008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59715532800).

27212008320 is an abundant number, since it is smaller than the sum of its proper divisors (92219057280).

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

27212008320 is a wasteful number, since it uses less digits than its factorization.

27212008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 27212008320 its reverse (2380021272), we get a palindrome (29592029592).

The spelling of 27212008320 in words is "twenty-seven billion, two hundred twelve million, eight thousand, three hundred twenty".