27720909216 has 288 divisors, whose sum is σ = 105844572288. Its totient is φ = 6646302720.

The previous prime is 27720909197. The next prime is 27720909233. The reversal of 27720909216 is 61290902772.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240210 + ... + 336366.

It is an arithmetic number, because the mean of its divisors is an integer number (367515876).

Almost surely, 2^27720909216 is an apocalyptic number.

27720909216 is a gapful number since it is divisible by the number (26) 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 27720909216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52922286144).

27720909216 is an abundant number, since it is smaller than the sum of its proper divisors (78123663072).

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

27720909216 is a wasteful number, since it uses less digits than its factorization.

27720909216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96204 (or 96193 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 27720909216 in words is "twenty-seven billion, seven hundred twenty million, nine hundred nine thousand, two hundred sixteen".