27034850304000 has 5376 divisors, whose sum is σ = 135033783865344. Its totient is φ = 5223481344000.

The previous prime is 27034850303963. The next prime is 27034850304013. The reversal of 27034850304000 is 40305843072.

It is a happy number.

27034850304000 is a `hidden beast` number, since 2 + 7 + 0 + 348 + 5 + 0 + 304 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 325721087959 + ... + 325721088041.

It is an arithmetic number, because the mean of its divisors is an integer number (25117891344).

Almost surely, 2^{27034850304000} is an apocalyptic number.

27034850304000 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 27034850304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67516891932672).

27034850304000 is an abundant number, since it is smaller than the sum of its proper divisors (107998933561344).

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

27034850304000 is an equidigital number, since it uses as much as digits as its factorization.

27034850304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 27034850304000 in words is "twenty-seven trillion, thirty-four billion, eight hundred fifty million, three hundred four thousand".