27668431200000 has 432 divisors, whose sum is σ = 92202036629472. Its totient is φ = 7365427200000.

The previous prime is 27668431199989. The next prime is 27668431200017. The reversal of 27668431200000 is 213486672.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423190280 + ... + 1423209720.

It is an arithmetic number, because the mean of its divisors is an integer number (213430640346).

Almost surely, 2^{27668431200000} is an apocalyptic number.

27668431200000 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 27668431200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46101018314736).

27668431200000 is an abundant number, since it is smaller than the sum of its proper divisors (64533605429472).

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

27668431200000 is an frugal number, since it uses more digits than its factorization.

27668431200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20078 (or 20044 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

Adding to 27668431200000 its reverse (213486672), we get a palindrome (27668644686672).

The spelling of 27668431200000 in words is "twenty-seven trillion, six hundred sixty-eight billion, four hundred thirty-one million, two hundred thousand".