27105832675680 has 768 divisors, whose sum is σ = 100279942963200. Its totient is φ = 6139095029760.

The previous prime is 27105832675679. The next prime is 27105832675721. The reversal of 27105832675680 is 8657623850172.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 631830871 + ... + 631873769.

It is an arithmetic number, because the mean of its divisors is an integer number (130572842400).

Almost surely, 2^{27105832675680} is an apocalyptic number.

27105832675680 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 27105832675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139971481600).

27105832675680 is an abundant number, since it is smaller than the sum of its proper divisors (73174110287520).

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

27105832675680 is a wasteful number, since it uses less digits than its factorization.

27105832675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43016 (or 42986 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 27105832675680 in words is "twenty-seven trillion, one hundred five billion, eight hundred thirty-two million, six hundred seventy-five thousand, six hundred eighty".