27272913696 has 144 divisors (see below), whose sum is σ = 88702496064. Its totient is φ = 7786501632.

The previous prime is 27272913691. The next prime is 27272913719. The reversal of 27272913696 is 69631927272.

27272913696 is a `hidden beast` number, since 2 + 7 + 272 + 9 + 1 + 369 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27272913691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3247615 + ... + 3256001.

It is an arithmetic number, because the mean of its divisors is an integer number (615989556).

Almost surely, 2^27272913696 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 27272913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44351248032).

27272913696 is an abundant number, since it is smaller than the sum of its proper divisors (61429582368).

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

27272913696 is a wasteful number, since it uses less digits than its factorization.

27272913696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10012 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 27272913696 in words is "twenty-seven billion, two hundred seventy-two million, nine hundred thirteen thousand, six hundred ninety-six".