27721170106560 has 1344 divisors, whose sum is σ = 117586280448000. Its totient is φ = 5982042931200.

The previous prime is 27721170106559. The next prime is 27721170106573. The reversal of 27721170106560 is 6560107112772.

27721170106560 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 1 + 1 + 70 + 10 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1255533601 + ... + 1255555679.

It is an arithmetic number, because the mean of its divisors is an integer number (87489792000).

Almost surely, 2^{27721170106560} is an apocalyptic number.

27721170106560 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 27721170106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58793140224000).

27721170106560 is an abundant number, since it is smaller than the sum of its proper divisors (89865110341440).

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

27721170106560 is a wasteful number, since it uses less digits than its factorization.

27721170106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22195 (or 22168 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 27721170106560 in words is "twenty-seven trillion, seven hundred twenty-one billion, one hundred seventy million, one hundred six thousand, five hundred sixty".