27120193042320 has 640 divisors, whose sum is σ = 107806692787200. Its totient is φ = 6138132037632.

The previous prime is 27120193042291. The next prime is 27120193042331. The reversal of 27120193042320 is 2324039102172.

27120193042320 is a `hidden beast` number, since 2 + 7 + 1 + 20 + 1 + 9 + 304 + 2 + 320 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3185734384 + ... + 3185742896.

It is an arithmetic number, because the mean of its divisors is an integer number (168447957480).

Almost surely, 2^{27120193042320} is an apocalyptic number.

27120193042320 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 27120193042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53903346393600).

27120193042320 is an abundant number, since it is smaller than the sum of its proper divisors (80686499744880).

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

27120193042320 is a wasteful number, since it uses less digits than its factorization.

27120193042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27120193042320 in words is "twenty-seven trillion, one hundred twenty billion, one hundred ninety-three million, forty-two thousand, three hundred twenty".