27328400985600 has 4320 divisors, whose sum is σ = 123805765923840. Its totient is φ = 5705927884800.

The previous prime is 27328400985569. The next prime is 27328400985607. The reversal of 27328400985600 is 658900482372.

27328400985600 is a `hidden beast` number, since 2 + 7 + 3 + 28 + 4 + 0 + 0 + 9 + 8 + 5 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27328400985607) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 329257843159 + ... + 329257843241.

It is an arithmetic number, because the mean of its divisors is an integer number (28658742112).

Almost surely, 2^{27328400985600} is an apocalyptic number.

27328400985600 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 27328400985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61902882961920).

27328400985600 is an abundant number, since it is smaller than the sum of its proper divisors (96477364938240).

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

27328400985600 is a wasteful number, since it uses less digits than its factorization.

27328400985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27328400985600 in words is "twenty-seven trillion, three hundred twenty-eight billion, four hundred million, nine hundred eighty-five thousand, six hundred".