27138928320000 has 2400 divisors, whose sum is σ = 115863696748800. Its totient is φ = 6109931520000.

The previous prime is 27138928319983. The next prime is 27138928320061. The reversal of 27138928320000 is 2382983172.

27138928320000 is a `hidden beast` number, since 271 + 3 + 89 + 283 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 81990719835 + ... + 81990720165.

It is an arithmetic number, because the mean of its divisors is an integer number (48276540312).

Almost surely, 2^{27138928320000} is an apocalyptic number.

27138928320000 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 27138928320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57931848374400).

27138928320000 is an abundant number, since it is smaller than the sum of its proper divisors (88724768428800).

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

27138928320000 is an frugal number, since it uses more digits than its factorization.

27138928320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27138928320000 in words is "twenty-seven trillion, one hundred thirty-eight billion, nine hundred twenty-eight million, three hundred twenty thousand".