27813316353312 has 288 divisors, whose sum is σ = 86666380121664. Its totient is φ = 7785227520000.

The previous prime is 27813316353281. The next prime is 27813316353331. The reversal of 27813316353312 is 21335361331872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71829858 + ... + 72216030.

It is an arithmetic number, because the mean of its divisors is an integer number (300924930978).

Almost surely, 2^{27813316353312} 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 27813316353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43333190060832).

27813316353312 is an abundant number, since it is smaller than the sum of its proper divisors (58853063768352).

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

27813316353312 is a wasteful number, since it uses less digits than its factorization.

27813316353312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386512 (or 386497 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 27813316353312 in words is "twenty-seven trillion, eight hundred thirteen billion, three hundred sixteen million, three hundred fifty-three thousand, three hundred twelve".