27432539671680 has 4096 divisors, whose sum is σ = 123833235456000. Its totient is φ = 5715173376000.

The previous prime is 27432539671673. The next prime is 27432539671687. The reversal of 27432539671680 is 8617693523472.

It is a happy number.

27432539671680 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 2 + 539 + 6 + 7 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (27432539671673) and next prime (27432539671687).

It is not an unprimeable number, because it can be changed into a prime (27432539671687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 271609303630 + ... + 271609303730.

It is an arithmetic number, because the mean of its divisors is an integer number (30232723500).

It is a 1-persistent number, because it is pandigital, but 2⋅27432539671680 = 54865079343360 is not.

Almost surely, 2^{27432539671680} is an apocalyptic number.

27432539671680 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 27432539671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916617728000).

27432539671680 is an abundant number, since it is smaller than the sum of its proper divisors (96400695784320).

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

27432539671680 is a wasteful number, since it uses less digits than its factorization.

27432539671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 27432539671680 in words is "twenty-seven trillion, four hundred thirty-two billion, five hundred thirty-nine million, six hundred seventy-one thousand, six hundred eighty".