27720805008 has 240 divisors, whose sum is σ = 79256802240. Its totient is φ = 8343668736.

The previous prime is 27720805001. The next prime is 27720805033. The reversal of 27720805008 is 80050802772.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (27720805001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94610110 + ... + 94610402.

It is an arithmetic number, because the mean of its divisors is an integer number (330236676).

Almost surely, 2^27720805008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27720805008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39628401120).

27720805008 is an abundant number, since it is smaller than the sum of its proper divisors (51535997232).

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

27720805008 is a wasteful number, since it uses less digits than its factorization.

27720805008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 27720805008 in words is "twenty-seven billion, seven hundred twenty million, eight hundred five thousand, eight".