27300321201312 has 192 divisors, whose sum is σ = 84327644903040. Its totient is φ = 8562995417088.

The previous prime is 27300321201301. The next prime is 27300321201403. The reversal of 27300321201312 is 21310212300372.

27300321201312 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 0 + 321 + 20 + 1 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70117318 + ... + 70505594.

It is an arithmetic number, because the mean of its divisors is an integer number (439206483870).

Almost surely, 2^{27300321201312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27300321201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42163822451520).

27300321201312 is an abundant number, since it is smaller than the sum of its proper divisors (57027323701728).

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

27300321201312 is a wasteful number, since it uses less digits than its factorization.

27300321201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393100 (or 393086 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 27300321201312 its reverse (21310212300372), we get a palindrome (48610533501684).

The spelling of 27300321201312 in words is "twenty-seven trillion, three hundred billion, three hundred twenty-one million, two hundred one thousand, three hundred twelve".