27604081797120 has 1152 divisors, whose sum is σ = 103617626112000. Its totient is φ = 6776458444800.

The previous prime is 27604081797091. The next prime is 27604081797121. The reversal of 27604081797120 is 2179718040672.

27604081797120 is a `hidden beast` number, since 2 + 7 + 60 + 408 + 179 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (27604081797121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13076304865 + ... + 13076306975.

It is an arithmetic number, because the mean of its divisors is an integer number (89945856000).

Almost surely, 2^{27604081797120} is an apocalyptic number.

27604081797120 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 27604081797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51808813056000).

27604081797120 is an abundant number, since it is smaller than the sum of its proper divisors (76013544314880).

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

27604081797120 is a wasteful number, since it uses less digits than its factorization.

27604081797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 27604081797120 in words is "twenty-seven trillion, six hundred four billion, eighty-one million, seven hundred ninety-seven thousand, one hundred twenty".