27212796123744 has 384 divisors, whose sum is σ = 94070975201280. Its totient is φ = 6681172377600.

The previous prime is 27212796123691. The next prime is 27212796123749. The reversal of 27212796123744 is 44732169721272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27212796123749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8472672 + ... + 11234400.

It is an arithmetic number, because the mean of its divisors is an integer number (244976497920).

Almost surely, 2^{27212796123744} is an apocalyptic number.

27212796123744 is a gapful number since it is divisible by the number (24) 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 27212796123744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47035487600640).

27212796123744 is an abundant number, since it is smaller than the sum of its proper divisors (66858179077536).

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

27212796123744 is a wasteful number, since it uses less digits than its factorization.

27212796123744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761834 (or 2761826 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 57.

The spelling of 27212796123744 in words is "twenty-seven trillion, two hundred twelve billion, seven hundred ninety-six million, one hundred twenty-three thousand, seven hundred forty-four".