27013233959712 has 1920 divisors, whose sum is σ = 113254793422848. Its totient is φ = 6078866227200.

The previous prime is 27013233959693. The next prime is 27013233959741. The reversal of 27013233959712 is 21795933231072.

It is a happy number.

27013233959712 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 3 + 2 + 3 + 39 + 597 + 12 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 23068516887 + ... + 23068518057.

Almost surely, 2^{27013233959712} is an apocalyptic number.

27013233959712 is a gapful number since it is divisible by the number (22) 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 27013233959712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56627396711424).

27013233959712 is an abundant number, since it is smaller than the sum of its proper divisors (86241559463136).

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

27013233959712 is a wasteful number, since it uses less digits than its factorization.

27013233959712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 27013233959712 in words is "twenty-seven trillion, thirteen billion, two hundred thirty-three million, nine hundred fifty-nine thousand, seven hundred twelve".