27506328430680 has 512 divisors, whose sum is σ = 102220160716800. Its totient is φ = 6521916211200.

The previous prime is 27506328430657. The next prime is 27506328430697. The reversal of 27506328430680 is 8603482360572.

27506328430680 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 6 + 328 + 4 + 306 + 8 + 0 = 666.

It is a super-3 number, since 3×27506328430680³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 867117220 + ... + 867148940.

It is an arithmetic number, because the mean of its divisors is an integer number (199648751400).

Almost surely, 2^{27506328430680} is an apocalyptic number.

27506328430680 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 27506328430680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51110080358400).

27506328430680 is an abundant number, since it is smaller than the sum of its proper divisors (74713832286120).

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

27506328430680 is a wasteful number, since it uses less digits than its factorization.

27506328430680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33352 (or 33342 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 27506328430680 in words is "twenty-seven trillion, five hundred six billion, three hundred twenty-eight million, four hundred thirty thousand, six hundred eighty".