27432960000000 has 1152 divisors, whose sum is σ = 98303373342720. Its totient is φ = 6782976000000.

The previous prime is 27432959999927. The next prime is 27432960000041. The reversal of 27432960000000 is 6923472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583679999977 + ... + 583680000023.

It is an arithmetic number, because the mean of its divisors is an integer number (85332789360).

Almost surely, 2^{27432960000000} is an apocalyptic number.

27432960000000 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 27432960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49151686671360).

27432960000000 is an abundant number, since it is smaller than the sum of its proper divisors (70870413342720).

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

27432960000000 is an frugal number, since it uses more digits than its factorization.

27432960000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 27432960000000 its reverse (6923472), we get a palindrome (27432966923472).

The spelling of 27432960000000 in words is "twenty-seven trillion, four hundred thirty-two billion, nine hundred sixty million", and thus it is an aban number.